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Finding the Fourth Proportional to 1,063.13, 1,593.55 and 514.10

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Solution

The fourth proportional to 1,063.13, 1,593.55 and 514.10 is: 770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.13 : 1,593.55 = 514.10 : x
  2. Step 2: Convert to fraction form
    1,063.13/1,593.55 = 514.10/x
  3. Step 3: Cross multiply
    1,063.13x = 1,593.55 × 514.10
  4. Step 4: Simplify right side
    1,063.13x = 819,238.27
  5. Step 5: Solve for x
    x = 819,238.27/1,063.13
  6. Step 6: Final answer
    x = 770.59

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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.