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Finding the Fourth Proportional to 671.53, 1,005.16 and 646.02

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Solution

The fourth proportional to 671.53, 1,005.16 and 646.02 is: 966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.53 : 1,005.16 = 646.02 : x
  2. Step 2: Convert to fraction form
    671.53/1,005.16 = 646.02/x
  3. Step 3: Cross multiply
    671.53x = 1,005.16 × 646.02
  4. Step 4: Simplify right side
    671.53x = 649,348.44
  5. Step 5: Solve for x
    x = 649,348.44/671.53
  6. Step 6: Final answer
    x = 966.97

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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.