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Finding the Fourth Proportional to 1,553.23, 2,329.71 and 731.71

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Solution

The fourth proportional to 1,553.23, 2,329.71 and 731.71 is: 1,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.23 : 2,329.71 = 731.71 : x
  2. Step 2: Convert to fraction form
    1,553.23/2,329.71 = 731.71/x
  3. Step 3: Cross multiply
    1,553.23x = 2,329.71 × 731.71
  4. Step 4: Simplify right side
    1,553.23x = 1,704,672.10
  5. Step 5: Solve for x
    x = 1,704,672.10/1,553.23
  6. Step 6: Final answer
    x = 1,097.50

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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.