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Finding the Fourth Proportional to 701.34, 966.72 and 514.80

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Solution

The fourth proportional to 701.34, 966.72 and 514.80 is: 709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.34 : 966.72 = 514.80 : x
  2. Step 2: Convert to fraction form
    701.34/966.72 = 514.80/x
  3. Step 3: Cross multiply
    701.34x = 966.72 × 514.80
  4. Step 4: Simplify right side
    701.34x = 497,667.46
  5. Step 5: Solve for x
    x = 497,667.46/701.34
  6. Step 6: Final answer
    x = 709.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.