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Finding the Fourth Proportional to 952.20, 1,312.71 and 671.58

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Solution

The fourth proportional to 952.20, 1,312.71 and 671.58 is: 925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.20 : 1,312.71 = 671.58 : x
  2. Step 2: Convert to fraction form
    952.20/1,312.71 = 671.58/x
  3. Step 3: Cross multiply
    952.20x = 1,312.71 × 671.58
  4. Step 4: Simplify right side
    952.20x = 881,589.78
  5. Step 5: Solve for x
    x = 881,589.78/952.20
  6. Step 6: Final answer
    x = 925.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.