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Finding the Fourth Proportional to 794.87, 1,097.02 and 500.13

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Solution

The fourth proportional to 794.87, 1,097.02 and 500.13 is: 690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.87 : 1,097.02 = 500.13 : x
  2. Step 2: Convert to fraction form
    794.87/1,097.02 = 500.13/x
  3. Step 3: Cross multiply
    794.87x = 1,097.02 × 500.13
  4. Step 4: Simplify right side
    794.87x = 548,657.35
  5. Step 5: Solve for x
    x = 548,657.35/794.87
  6. Step 6: Final answer
    x = 690.25

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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.