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Finding the Fourth Proportional to 800.55, 1,104.42 and 591.23

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Solution

The fourth proportional to 800.55, 1,104.42 and 591.23 is: 815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.55 : 1,104.42 = 591.23 : x
  2. Step 2: Convert to fraction form
    800.55/1,104.42 = 591.23/x
  3. Step 3: Cross multiply
    800.55x = 1,104.42 × 591.23
  4. Step 4: Simplify right side
    800.55x = 652,960.71
  5. Step 5: Solve for x
    x = 652,960.71/800.55
  6. Step 6: Final answer
    x = 815.64

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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.