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Finding the Fourth Proportional to 694.47, 1,038.85 and 633.64

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Solution

The fourth proportional to 694.47, 1,038.85 and 633.64 is: 947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.47 : 1,038.85 = 633.64 : x
  2. Step 2: Convert to fraction form
    694.47/1,038.85 = 633.64/x
  3. Step 3: Cross multiply
    694.47x = 1,038.85 × 633.64
  4. Step 4: Simplify right side
    694.47x = 658,256.91
  5. Step 5: Solve for x
    x = 658,256.91/694.47
  6. Step 6: Final answer
    x = 947.86

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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.