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Finding the Fourth Proportional to 794.39, 1,095.80 and 558.23

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Solution

The fourth proportional to 794.39, 1,095.80 and 558.23 is: 770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.39 : 1,095.80 = 558.23 : x
  2. Step 2: Convert to fraction form
    794.39/1,095.80 = 558.23/x
  3. Step 3: Cross multiply
    794.39x = 1,095.80 × 558.23
  4. Step 4: Simplify right side
    794.39x = 611,708.38
  5. Step 5: Solve for x
    x = 611,708.38/794.39
  6. Step 6: Final answer
    x = 770.04

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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.