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Finding the Fourth Proportional to 1,049.32, 1,573.76 and 610.28

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Solution

The fourth proportional to 1,049.32, 1,573.76 and 610.28 is: 915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.32 : 1,573.76 = 610.28 : x
  2. Step 2: Convert to fraction form
    1,049.32/1,573.76 = 610.28/x
  3. Step 3: Cross multiply
    1,049.32x = 1,573.76 × 610.28
  4. Step 4: Simplify right side
    1,049.32x = 960,434.25
  5. Step 5: Solve for x
    x = 960,434.25/1,049.32
  6. Step 6: Final answer
    x = 915.29

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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.