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Finding the Fourth Proportional to 1,061.80, 1,592.61 and 469.09

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Solution

The fourth proportional to 1,061.80, 1,592.61 and 469.09 is: 703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.80 : 1,592.61 = 469.09 : x
  2. Step 2: Convert to fraction form
    1,061.80/1,592.61 = 469.09/x
  3. Step 3: Cross multiply
    1,061.80x = 1,592.61 × 469.09
  4. Step 4: Simplify right side
    1,061.80x = 747,077.42
  5. Step 5: Solve for x
    x = 747,077.42/1,061.80
  6. Step 6: Final answer
    x = 703.60

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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.