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Finding the Fourth Proportional to 1,022.15, 1,532.66 and 473.84

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Solution

The fourth proportional to 1,022.15, 1,532.66 and 473.84 is: 710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.15 : 1,532.66 = 473.84 : x
  2. Step 2: Convert to fraction form
    1,022.15/1,532.66 = 473.84/x
  3. Step 3: Cross multiply
    1,022.15x = 1,532.66 × 473.84
  4. Step 4: Simplify right side
    1,022.15x = 726,225.58
  5. Step 5: Solve for x
    x = 726,225.58/1,022.15
  6. Step 6: Final answer
    x = 710.49

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Double scale
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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.