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Finding the Fourth Proportional to 702.36, 1,049.49 and 484.20

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Solution

The fourth proportional to 702.36, 1,049.49 and 484.20 is: 723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.36 : 1,049.49 = 484.20 : x
  2. Step 2: Convert to fraction form
    702.36/1,049.49 = 484.20/x
  3. Step 3: Cross multiply
    702.36x = 1,049.49 × 484.20
  4. Step 4: Simplify right side
    702.36x = 508,163.06
  5. Step 5: Solve for x
    x = 508,163.06/702.36
  6. Step 6: Final answer
    x = 723.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.