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Finding the Fourth Proportional to 1,104.85, 1,656.46 and 584.43

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Solution

The fourth proportional to 1,104.85, 1,656.46 and 584.43 is: 876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.85 : 1,656.46 = 584.43 : x
  2. Step 2: Convert to fraction form
    1,104.85/1,656.46 = 584.43/x
  3. Step 3: Cross multiply
    1,104.85x = 1,656.46 × 584.43
  4. Step 4: Simplify right side
    1,104.85x = 968,084.92
  5. Step 5: Solve for x
    x = 968,084.92/1,104.85
  6. Step 6: Final answer
    x = 876.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.