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Finding the Fourth Proportional to 1,002.69, 1,505.15 and 592.13

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Solution

The fourth proportional to 1,002.69, 1,505.15 and 592.13 is: 888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.69 : 1,505.15 = 592.13 : x
  2. Step 2: Convert to fraction form
    1,002.69/1,505.15 = 592.13/x
  3. Step 3: Cross multiply
    1,002.69x = 1,505.15 × 592.13
  4. Step 4: Simplify right side
    1,002.69x = 891,233.98
  5. Step 5: Solve for x
    x = 891,233.98/1,002.69
  6. Step 6: Final answer
    x = 888.84

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