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Finding the Fourth Proportional to 793.82, 1,095.10 and 514.15

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Solution

The fourth proportional to 793.82, 1,095.10 and 514.15 is: 709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.82 : 1,095.10 = 514.15 : x
  2. Step 2: Convert to fraction form
    793.82/1,095.10 = 514.15/x
  3. Step 3: Cross multiply
    793.82x = 1,095.10 × 514.15
  4. Step 4: Simplify right side
    793.82x = 563,041.47
  5. Step 5: Solve for x
    x = 563,041.47/793.82
  6. Step 6: Final answer
    x = 709.28

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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.