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Finding the Fourth Proportional to 1,036.46, 1,552.61 and 514.88

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Solution

The fourth proportional to 1,036.46, 1,552.61 and 514.88 is: 771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.46 : 1,552.61 = 514.88 : x
  2. Step 2: Convert to fraction form
    1,036.46/1,552.61 = 514.88/x
  3. Step 3: Cross multiply
    1,036.46x = 1,552.61 × 514.88
  4. Step 4: Simplify right side
    1,036.46x = 799,414.47
  5. Step 5: Solve for x
    x = 799,414.47/1,036.46
  6. Step 6: Final answer
    x = 771.29

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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.