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Finding the Fourth Proportional to 862.42, 1,294.10 and 467.09

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Solution

The fourth proportional to 862.42, 1,294.10 and 467.09 is: 700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.42 : 1,294.10 = 467.09 : x
  2. Step 2: Convert to fraction form
    862.42/1,294.10 = 467.09/x
  3. Step 3: Cross multiply
    862.42x = 1,294.10 × 467.09
  4. Step 4: Simplify right side
    862.42x = 604,461.17
  5. Step 5: Solve for x
    x = 604,461.17/862.42
  6. Step 6: Final answer
    x = 700.89

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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.