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Finding the Fourth Proportional to 676.60, 1,013.55 and 471.40

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Solution

The fourth proportional to 676.60, 1,013.55 and 471.40 is: 706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.60 : 1,013.55 = 471.40 : x
  2. Step 2: Convert to fraction form
    676.60/1,013.55 = 471.40/x
  3. Step 3: Cross multiply
    676.60x = 1,013.55 × 471.40
  4. Step 4: Simplify right side
    676.60x = 477,787.47
  5. Step 5: Solve for x
    x = 477,787.47/676.60
  6. Step 6: Final answer
    x = 706.16

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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.