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Finding the Fourth Proportional to 1,061.96, 1,591.10 and 575.35

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Solution

The fourth proportional to 1,061.96, 1,591.10 and 575.35 is: 862.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.96 : 1,591.10 = 575.35 : x
  2. Step 2: Convert to fraction form
    1,061.96/1,591.10 = 575.35/x
  3. Step 3: Cross multiply
    1,061.96x = 1,591.10 × 575.35
  4. Step 4: Simplify right side
    1,061.96x = 915,440.82
  5. Step 5: Solve for x
    x = 915,440.82/1,061.96
  6. Step 6: Final answer
    x = 862.03

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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.