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Finding the Fourth Proportional to 1,148.31, 1,583.00 and 849.11

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Solution

The fourth proportional to 1,148.31, 1,583.00 and 849.11 is: 1,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.31 : 1,583.00 = 849.11 : x
  2. Step 2: Convert to fraction form
    1,148.31/1,583.00 = 849.11/x
  3. Step 3: Cross multiply
    1,148.31x = 1,583.00 × 849.11
  4. Step 4: Simplify right side
    1,148.31x = 1,344,140.84
  5. Step 5: Solve for x
    x = 1,344,140.84/1,148.31
  6. Step 6: Final answer
    x = 1,170.54

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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.