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Finding the Fourth Proportional to 793.58, 1,095.02 and 514.20

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Solution

The fourth proportional to 793.58, 1,095.02 and 514.20 is: 709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.58 : 1,095.02 = 514.20 : x
  2. Step 2: Convert to fraction form
    793.58/1,095.02 = 514.20/x
  3. Step 3: Cross multiply
    793.58x = 1,095.02 × 514.20
  4. Step 4: Simplify right side
    793.58x = 563,059.28
  5. Step 5: Solve for x
    x = 563,059.28/793.58
  6. Step 6: Final answer
    x = 709.52

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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.