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Finding the Fourth Proportional to 870.36, 1,306.56 and 849.48

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Solution

The fourth proportional to 870.36, 1,306.56 and 849.48 is: 1,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.36 : 1,306.56 = 849.48 : x
  2. Step 2: Convert to fraction form
    870.36/1,306.56 = 849.48/x
  3. Step 3: Cross multiply
    870.36x = 1,306.56 × 849.48
  4. Step 4: Simplify right side
    870.36x = 1,109,896.59
  5. Step 5: Solve for x
    x = 1,109,896.59/870.36
  6. Step 6: Final answer
    x = 1,275.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.