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Finding the Fourth Proportional to 1,007.23, 1,508.76 and 747.52

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Solution

The fourth proportional to 1,007.23, 1,508.76 and 747.52 is: 1,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.23 : 1,508.76 = 747.52 : x
  2. Step 2: Convert to fraction form
    1,007.23/1,508.76 = 747.52/x
  3. Step 3: Cross multiply
    1,007.23x = 1,508.76 × 747.52
  4. Step 4: Simplify right side
    1,007.23x = 1,127,828.28
  5. Step 5: Solve for x
    x = 1,127,828.28/1,007.23
  6. Step 6: Final answer
    x = 1,119.73

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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.