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Finding the Fourth Proportional to 780.82, 1,077.19 and 514.92

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Solution

The fourth proportional to 780.82, 1,077.19 and 514.92 is: 710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.82 : 1,077.19 = 514.92 : x
  2. Step 2: Convert to fraction form
    780.82/1,077.19 = 514.92/x
  3. Step 3: Cross multiply
    780.82x = 1,077.19 × 514.92
  4. Step 4: Simplify right side
    780.82x = 554,666.67
  5. Step 5: Solve for x
    x = 554,666.67/780.82
  6. Step 6: Final answer
    x = 710.37

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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.