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Finding the Fourth Proportional to 691.88, 1,038.03 and 461.71

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Solution

The fourth proportional to 691.88, 1,038.03 and 461.71 is: 692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.88 : 1,038.03 = 461.71 : x
  2. Step 2: Convert to fraction form
    691.88/1,038.03 = 461.71/x
  3. Step 3: Cross multiply
    691.88x = 1,038.03 × 461.71
  4. Step 4: Simplify right side
    691.88x = 479,261.33
  5. Step 5: Solve for x
    x = 479,261.33/691.88
  6. Step 6: Final answer
    x = 692.69

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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.