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Finding the Fourth Proportional to 1,114.27, 1,671.97 and 456.63

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Solution

The fourth proportional to 1,114.27, 1,671.97 and 456.63 is: 685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.27 : 1,671.97 = 456.63 : x
  2. Step 2: Convert to fraction form
    1,114.27/1,671.97 = 456.63/x
  3. Step 3: Cross multiply
    1,114.27x = 1,671.97 × 456.63
  4. Step 4: Simplify right side
    1,114.27x = 763,471.66
  5. Step 5: Solve for x
    x = 763,471.66/1,114.27
  6. Step 6: Final answer
    x = 685.18

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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.