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Finding the Fourth Proportional to 1,061.85, 1,592.36 and 574.63

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Solution

The fourth proportional to 1,061.85, 1,592.36 and 574.63 is: 861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.85 : 1,592.36 = 574.63 : x
  2. Step 2: Convert to fraction form
    1,061.85/1,592.36 = 574.63/x
  3. Step 3: Cross multiply
    1,061.85x = 1,592.36 × 574.63
  4. Step 4: Simplify right side
    1,061.85x = 915,025.32
  5. Step 5: Solve for x
    x = 915,025.32/1,061.85
  6. Step 6: Final answer
    x = 861.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.