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Finding the Fourth Proportional to 701.64, 968.13 and 477.75

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Solution

The fourth proportional to 701.64, 968.13 and 477.75 is: 659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.64 : 968.13 = 477.75 : x
  2. Step 2: Convert to fraction form
    701.64/968.13 = 477.75/x
  3. Step 3: Cross multiply
    701.64x = 968.13 × 477.75
  4. Step 4: Simplify right side
    701.64x = 462,524.11
  5. Step 5: Solve for x
    x = 462,524.11/701.64
  6. Step 6: Final answer
    x = 659.20

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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.