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Finding the Fourth Proportional to 671.48, 1,005.11 and 462.02

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Solution

The fourth proportional to 671.48, 1,005.11 and 462.02 is: 691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.48 : 1,005.11 = 462.02 : x
  2. Step 2: Convert to fraction form
    671.48/1,005.11 = 462.02/x
  3. Step 3: Cross multiply
    671.48x = 1,005.11 × 462.02
  4. Step 4: Simplify right side
    671.48x = 464,382.08
  5. Step 5: Solve for x
    x = 464,382.08/671.48
  6. Step 6: Final answer
    x = 691.58

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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.