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Finding the Fourth Proportional to 701.93, 966.08 and 515.12

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Solution

The fourth proportional to 701.93, 966.08 and 515.12 is: 708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.93 : 966.08 = 515.12 : x
  2. Step 2: Convert to fraction form
    701.93/966.08 = 515.12/x
  3. Step 3: Cross multiply
    701.93x = 966.08 × 515.12
  4. Step 4: Simplify right side
    701.93x = 497,639.72
  5. Step 5: Solve for x
    x = 497,639.72/701.93
  6. Step 6: Final answer
    x = 708.96

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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.