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Finding the Fourth Proportional to 1,007.78, 1,512.27 and 925.16

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Solution

The fourth proportional to 1,007.78, 1,512.27 and 925.16 is: 1,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.78 : 1,512.27 = 925.16 : x
  2. Step 2: Convert to fraction form
    1,007.78/1,512.27 = 925.16/x
  3. Step 3: Cross multiply
    1,007.78x = 1,512.27 × 925.16
  4. Step 4: Simplify right side
    1,007.78x = 1,399,084.15
  5. Step 5: Solve for x
    x = 1,399,084.15/1,007.78
  6. Step 6: Final answer
    x = 1,388.29

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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.