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Finding the Fourth Proportional to 1,147.31, 1,581.62 and 848.12

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Solution

The fourth proportional to 1,147.31, 1,581.62 and 848.12 is: 1,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.31 : 1,581.62 = 848.12 : x
  2. Step 2: Convert to fraction form
    1,147.31/1,581.62 = 848.12/x
  3. Step 3: Cross multiply
    1,147.31x = 1,581.62 × 848.12
  4. Step 4: Simplify right side
    1,147.31x = 1,341,395.65
  5. Step 5: Solve for x
    x = 1,341,395.65/1,147.31
  6. Step 6: Final answer
    x = 1,169.17

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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.