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Finding the Fourth Proportional to 1,007.34, 1,508.67 and 972.72

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Solution

The fourth proportional to 1,007.34, 1,508.67 and 972.72 is: 1,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.34 : 1,508.67 = 972.72 : x
  2. Step 2: Convert to fraction form
    1,007.34/1,508.67 = 972.72/x
  3. Step 3: Cross multiply
    1,007.34x = 1,508.67 × 972.72
  4. Step 4: Simplify right side
    1,007.34x = 1,467,513.48
  5. Step 5: Solve for x
    x = 1,467,513.48/1,007.34
  6. Step 6: Final answer
    x = 1,456.82

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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.