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Finding the Fourth Proportional to 779.47, 1,074.97 and 514.15

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Solution

The fourth proportional to 779.47, 1,074.97 and 514.15 is: 709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.47 : 1,074.97 = 514.15 : x
  2. Step 2: Convert to fraction form
    779.47/1,074.97 = 514.15/x
  3. Step 3: Cross multiply
    779.47x = 1,074.97 × 514.15
  4. Step 4: Simplify right side
    779.47x = 552,693.78
  5. Step 5: Solve for x
    x = 552,693.78/779.47
  6. Step 6: Final answer
    x = 709.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.