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Finding the Fourth Proportional to 1,062.52, 1,592.16 and 629.20

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Solution

The fourth proportional to 1,062.52, 1,592.16 and 629.20 is: 942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.52 : 1,592.16 = 629.20 : x
  2. Step 2: Convert to fraction form
    1,062.52/1,592.16 = 629.20/x
  3. Step 3: Cross multiply
    1,062.52x = 1,592.16 × 629.20
  4. Step 4: Simplify right side
    1,062.52x = 1,001,787.07
  5. Step 5: Solve for x
    x = 1,001,787.07/1,062.52
  6. Step 6: Final answer
    x = 942.84

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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.