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Finding the Fourth Proportional to 676.82, 1,013.16 and 432.60

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Solution

The fourth proportional to 676.82, 1,013.16 and 432.60 is: 647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.82 : 1,013.16 = 432.60 : x
  2. Step 2: Convert to fraction form
    676.82/1,013.16 = 432.60/x
  3. Step 3: Cross multiply
    676.82x = 1,013.16 × 432.60
  4. Step 4: Simplify right side
    676.82x = 438,293.02
  5. Step 5: Solve for x
    x = 438,293.02/676.82
  6. Step 6: Final answer
    x = 647.58

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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.