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Finding the Fourth Proportional to 701.60, 967.52 and 512.36

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Solution

The fourth proportional to 701.60, 967.52 and 512.36 is: 706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.60 : 967.52 = 512.36 : x
  2. Step 2: Convert to fraction form
    701.60/967.52 = 512.36/x
  3. Step 3: Cross multiply
    701.60x = 967.52 × 512.36
  4. Step 4: Simplify right side
    701.60x = 495,718.55
  5. Step 5: Solve for x
    x = 495,718.55/701.60
  6. Step 6: Final answer
    x = 706.55

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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.