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Finding the Fourth Proportional to 1,063.15, 1,592.41 and 514.17

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Solution

The fourth proportional to 1,063.15, 1,592.41 and 514.17 is: 770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.15 : 1,592.41 = 514.17 : x
  2. Step 2: Convert to fraction form
    1,063.15/1,592.41 = 514.17/x
  3. Step 3: Cross multiply
    1,063.15x = 1,592.41 × 514.17
  4. Step 4: Simplify right side
    1,063.15x = 818,766.88
  5. Step 5: Solve for x
    x = 818,766.88/1,063.15
  6. Step 6: Final answer
    x = 770.14

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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.