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Finding the Fourth Proportional to 1,135.08, 1,702.76 and 724.48

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Solution

The fourth proportional to 1,135.08, 1,702.76 and 724.48 is: 1,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.08 : 1,702.76 = 724.48 : x
  2. Step 2: Convert to fraction form
    1,135.08/1,702.76 = 724.48/x
  3. Step 3: Cross multiply
    1,135.08x = 1,702.76 × 724.48
  4. Step 4: Simplify right side
    1,135.08x = 1,233,615.56
  5. Step 5: Solve for x
    x = 1,233,615.56/1,135.08
  6. Step 6: Final answer
    x = 1,086.81

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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.