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Finding the Fourth Proportional to 671.98, 1,009.77 and 456.88

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Solution

The fourth proportional to 671.98, 1,009.77 and 456.88 is: 686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.98 : 1,009.77 = 456.88 : x
  2. Step 2: Convert to fraction form
    671.98/1,009.77 = 456.88/x
  3. Step 3: Cross multiply
    671.98x = 1,009.77 × 456.88
  4. Step 4: Simplify right side
    671.98x = 461,343.72
  5. Step 5: Solve for x
    x = 461,343.72/671.98
  6. Step 6: Final answer
    x = 686.54

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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.