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Finding the Fourth Proportional to 1,061.20, 1,592.82 and 575.28

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Solution

The fourth proportional to 1,061.20, 1,592.82 and 575.28 is: 863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.20 : 1,592.82 = 575.28 : x
  2. Step 2: Convert to fraction form
    1,061.20/1,592.82 = 575.28/x
  3. Step 3: Cross multiply
    1,061.20x = 1,592.82 × 575.28
  4. Step 4: Simplify right side
    1,061.20x = 916,317.49
  5. Step 5: Solve for x
    x = 916,317.49/1,061.20
  6. Step 6: Final answer
    x = 863.47

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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.