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Finding the Fourth Proportional to 1,002.29, 1,503.65 and 344.21

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Solution

The fourth proportional to 1,002.29, 1,503.65 and 344.21 is: 516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.29 : 1,503.65 = 344.21 : x
  2. Step 2: Convert to fraction form
    1,002.29/1,503.65 = 344.21/x
  3. Step 3: Cross multiply
    1,002.29x = 1,503.65 × 344.21
  4. Step 4: Simplify right side
    1,002.29x = 517,564.71
  5. Step 5: Solve for x
    x = 517,564.71/1,002.29
  6. Step 6: Final answer
    x = 516.38

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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.