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Finding the Fourth Proportional to 1,114.84, 1,538.15 and 672.71

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Solution

The fourth proportional to 1,114.84, 1,538.15 and 672.71 is: 928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.84 : 1,538.15 = 672.71 : x
  2. Step 2: Convert to fraction form
    1,114.84/1,538.15 = 672.71/x
  3. Step 3: Cross multiply
    1,114.84x = 1,538.15 × 672.71
  4. Step 4: Simplify right side
    1,114.84x = 1,034,728.89
  5. Step 5: Solve for x
    x = 1,034,728.89/1,114.84
  6. Step 6: Final answer
    x = 928.14

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