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Finding the Fourth Proportional to 695.84, 1,042.72 and 514.40

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Solution

The fourth proportional to 695.84, 1,042.72 and 514.40 is: 770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.84 : 1,042.72 = 514.40 : x
  2. Step 2: Convert to fraction form
    695.84/1,042.72 = 514.40/x
  3. Step 3: Cross multiply
    695.84x = 1,042.72 × 514.40
  4. Step 4: Simplify right side
    695.84x = 536,375.17
  5. Step 5: Solve for x
    x = 536,375.17/695.84
  6. Step 6: Final answer
    x = 770.83

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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.