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Finding the Fourth Proportional to 1,154.31, 1,592.76 and 656.96

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Solution

The fourth proportional to 1,154.31, 1,592.76 and 656.96 is: 906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.31 : 1,592.76 = 656.96 : x
  2. Step 2: Convert to fraction form
    1,154.31/1,592.76 = 656.96/x
  3. Step 3: Cross multiply
    1,154.31x = 1,592.76 × 656.96
  4. Step 4: Simplify right side
    1,154.31x = 1,046,370.82
  5. Step 5: Solve for x
    x = 1,046,370.82/1,154.31
  6. Step 6: Final answer
    x = 906.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.