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Finding the Fourth Proportional to 1,557.31, 2,335.96 and 387.32

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Solution

The fourth proportional to 1,557.31, 2,335.96 and 387.32 is: 580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.31 : 2,335.96 = 387.32 : x
  2. Step 2: Convert to fraction form
    1,557.31/2,335.96 = 387.32/x
  3. Step 3: Cross multiply
    1,557.31x = 2,335.96 × 387.32
  4. Step 4: Simplify right side
    1,557.31x = 904,764.03
  5. Step 5: Solve for x
    x = 904,764.03/1,557.31
  6. Step 6: Final answer
    x = 580.98

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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.