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Finding the Fourth Proportional to 1,095.45, 1,511.54 and 653.19

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Solution

The fourth proportional to 1,095.45, 1,511.54 and 653.19 is: 901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.45 : 1,511.54 = 653.19 : x
  2. Step 2: Convert to fraction form
    1,095.45/1,511.54 = 653.19/x
  3. Step 3: Cross multiply
    1,095.45x = 1,511.54 × 653.19
  4. Step 4: Simplify right side
    1,095.45x = 987,322.81
  5. Step 5: Solve for x
    x = 987,322.81/1,095.45
  6. Step 6: Final answer
    x = 901.29

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.