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Finding the Fourth Proportional to 1,115, 1,538.69 and 672.81

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Solution

The fourth proportional to 1,115, 1,538.69 and 672.81 is: 928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115 : 1,538.69 = 672.81 : x
  2. Step 2: Convert to fraction form
    1,115/1,538.69 = 672.81/x
  3. Step 3: Cross multiply
    1,115x = 1,538.69 × 672.81
  4. Step 4: Simplify right side
    1,115x = 1,035,246.02
  5. Step 5: Solve for x
    x = 1,035,246.02/1,115
  6. Step 6: Final answer
    x = 928.47

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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.