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Finding the Fourth Proportional to 1,114.93, 1,672.12 and 456.63

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Solution

The fourth proportional to 1,114.93, 1,672.12 and 456.63 is: 684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.93 : 1,672.12 = 456.63 : x
  2. Step 2: Convert to fraction form
    1,114.93/1,672.12 = 456.63/x
  3. Step 3: Cross multiply
    1,114.93x = 1,672.12 × 456.63
  4. Step 4: Simplify right side
    1,114.93x = 763,540.16
  5. Step 5: Solve for x
    x = 763,540.16/1,114.93
  6. Step 6: Final answer
    x = 684.83

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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.