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Finding the Fourth Proportional to 1,022.49, 1,533.78 and 282.16

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Solution

The fourth proportional to 1,022.49, 1,533.78 and 282.16 is: 423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.49 : 1,533.78 = 282.16 : x
  2. Step 2: Convert to fraction form
    1,022.49/1,533.78 = 282.16/x
  3. Step 3: Cross multiply
    1,022.49x = 1,533.78 × 282.16
  4. Step 4: Simplify right side
    1,022.49x = 432,772.22
  5. Step 5: Solve for x
    x = 432,772.22/1,022.49
  6. Step 6: Final answer
    x = 423.25

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.