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Finding the Fourth Proportional to 1,034.70, 1,552.10 and 514.95

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Solution

The fourth proportional to 1,034.70, 1,552.10 and 514.95 is: 772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.70 : 1,552.10 = 514.95 : x
  2. Step 2: Convert to fraction form
    1,034.70/1,552.10 = 514.95/x
  3. Step 3: Cross multiply
    1,034.70x = 1,552.10 × 514.95
  4. Step 4: Simplify right side
    1,034.70x = 799,251.32
  5. Step 5: Solve for x
    x = 799,251.32/1,034.70
  6. Step 6: Final answer
    x = 772.45

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