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Finding the Fourth Proportional to 1,062.98, 1,592.92 and 514.52

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Solution

The fourth proportional to 1,062.98, 1,592.92 and 514.52 is: 771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.98 : 1,592.92 = 514.52 : x
  2. Step 2: Convert to fraction form
    1,062.98/1,592.92 = 514.52/x
  3. Step 3: Cross multiply
    1,062.98x = 1,592.92 × 514.52
  4. Step 4: Simplify right side
    1,062.98x = 819,589.20
  5. Step 5: Solve for x
    x = 819,589.20/1,062.98
  6. Step 6: Final answer
    x = 771.03

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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.