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Finding the Fourth Proportional to 794.61, 1,096.38 and 514.71

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Solution

The fourth proportional to 794.61, 1,096.38 and 514.71 is: 710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.61 : 1,096.38 = 514.71 : x
  2. Step 2: Convert to fraction form
    794.61/1,096.38 = 514.71/x
  3. Step 3: Cross multiply
    794.61x = 1,096.38 × 514.71
  4. Step 4: Simplify right side
    794.61x = 564,317.75
  5. Step 5: Solve for x
    x = 564,317.75/794.61
  6. Step 6: Final answer
    x = 710.18

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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.