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Finding the Fourth Proportional to 1,001.24, 1,501.32 and 351.92

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Solution

The fourth proportional to 1,001.24, 1,501.32 and 351.92 is: 527.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.24 : 1,501.32 = 351.92 : x
  2. Step 2: Convert to fraction form
    1,001.24/1,501.32 = 351.92/x
  3. Step 3: Cross multiply
    1,001.24x = 1,501.32 × 351.92
  4. Step 4: Simplify right side
    1,001.24x = 528,344.53
  5. Step 5: Solve for x
    x = 528,344.53/1,001.24
  6. Step 6: Final answer
    x = 527.69

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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.