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Finding the Fourth Proportional to 676.64, 1,013.88 and 460.12

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Solution

The fourth proportional to 676.64, 1,013.88 and 460.12 is: 689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.64 : 1,013.88 = 460.12 : x
  2. Step 2: Convert to fraction form
    676.64/1,013.88 = 460.12/x
  3. Step 3: Cross multiply
    676.64x = 1,013.88 × 460.12
  4. Step 4: Simplify right side
    676.64x = 466,506.47
  5. Step 5: Solve for x
    x = 466,506.47/676.64
  6. Step 6: Final answer
    x = 689.45

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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.