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Finding the Fourth Proportional to 872.38, 1,307.04 and 460.61

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Solution

The fourth proportional to 872.38, 1,307.04 and 460.61 is: 690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.38 : 1,307.04 = 460.61 : x
  2. Step 2: Convert to fraction form
    872.38/1,307.04 = 460.61/x
  3. Step 3: Cross multiply
    872.38x = 1,307.04 × 460.61
  4. Step 4: Simplify right side
    872.38x = 602,034.78
  5. Step 5: Solve for x
    x = 602,034.78/872.38
  6. Step 6: Final answer
    x = 690.10

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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.