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Finding the Fourth Proportional to 701.04, 966.41 and 501.75

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Solution

The fourth proportional to 701.04, 966.41 and 501.75 is: 691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.04 : 966.41 = 501.75 : x
  2. Step 2: Convert to fraction form
    701.04/966.41 = 501.75/x
  3. Step 3: Cross multiply
    701.04x = 966.41 × 501.75
  4. Step 4: Simplify right side
    701.04x = 484,896.22
  5. Step 5: Solve for x
    x = 484,896.22/701.04
  6. Step 6: Final answer
    x = 691.68

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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.