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Finding the Fourth Proportional to 1,542.71, 2,314.17 and 447.08

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Solution

The fourth proportional to 1,542.71, 2,314.17 and 447.08 is: 670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.71 : 2,314.17 = 447.08 : x
  2. Step 2: Convert to fraction form
    1,542.71/2,314.17 = 447.08/x
  3. Step 3: Cross multiply
    1,542.71x = 2,314.17 × 447.08
  4. Step 4: Simplify right side
    1,542.71x = 1,034,607.55
  5. Step 5: Solve for x
    x = 1,034,607.55/1,542.71
  6. Step 6: Final answer
    x = 670.65

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1.5x scale

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.