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Finding the Fourth Proportional to 1,148.62, 1,585.11 and 682.78

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Solution

The fourth proportional to 1,148.62, 1,585.11 and 682.78 is: 942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.62 : 1,585.11 = 682.78 : x
  2. Step 2: Convert to fraction form
    1,148.62/1,585.11 = 682.78/x
  3. Step 3: Cross multiply
    1,148.62x = 1,585.11 × 682.78
  4. Step 4: Simplify right side
    1,148.62x = 1,082,282.11
  5. Step 5: Solve for x
    x = 1,082,282.11/1,148.62
  6. Step 6: Final answer
    x = 942.24

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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.