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Finding the Fourth Proportional to 1,061.31, 1,592.01 and 291.81

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Solution

The fourth proportional to 1,061.31, 1,592.01 and 291.81 is: 437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.31 : 1,592.01 = 291.81 : x
  2. Step 2: Convert to fraction form
    1,061.31/1,592.01 = 291.81/x
  3. Step 3: Cross multiply
    1,061.31x = 1,592.01 × 291.81
  4. Step 4: Simplify right side
    1,061.31x = 464,564.44
  5. Step 5: Solve for x
    x = 464,564.44/1,061.31
  6. Step 6: Final answer
    x = 437.73

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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.