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Finding the Fourth Proportional to 696.87, 1,042.65 and 466.29

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Solution

The fourth proportional to 696.87, 1,042.65 and 466.29 is: 697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.87 : 1,042.65 = 466.29 : x
  2. Step 2: Convert to fraction form
    696.87/1,042.65 = 466.29/x
  3. Step 3: Cross multiply
    696.87x = 1,042.65 × 466.29
  4. Step 4: Simplify right side
    696.87x = 486,177.27
  5. Step 5: Solve for x
    x = 486,177.27/696.87
  6. Step 6: Final answer
    x = 697.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.