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Finding the Fourth Proportional to 694.90, 1,037.07 and 638.90

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Solution

The fourth proportional to 694.90, 1,037.07 and 638.90 is: 953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.90 : 1,037.07 = 638.90 : x
  2. Step 2: Convert to fraction form
    694.90/1,037.07 = 638.90/x
  3. Step 3: Cross multiply
    694.90x = 1,037.07 × 638.90
  4. Step 4: Simplify right side
    694.90x = 662,580.83
  5. Step 5: Solve for x
    x = 662,580.83/694.90
  6. Step 6: Final answer
    x = 953.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.