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Finding the Fourth Proportional to 701.52, 968.52 and 469.04

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Solution

The fourth proportional to 701.52, 968.52 and 469.04 is: 647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.52 : 968.52 = 469.04 : x
  2. Step 2: Convert to fraction form
    701.52/968.52 = 469.04/x
  3. Step 3: Cross multiply
    701.52x = 968.52 × 469.04
  4. Step 4: Simplify right side
    701.52x = 454,274.62
  5. Step 5: Solve for x
    x = 454,274.62/701.52
  6. Step 6: Final answer
    x = 647.56

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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.