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Finding the Fourth Proportional to 1,104.54, 1,657.78 and 584.92

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Solution

The fourth proportional to 1,104.54, 1,657.78 and 584.92 is: 877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.54 : 1,657.78 = 584.92 : x
  2. Step 2: Convert to fraction form
    1,104.54/1,657.78 = 584.92/x
  3. Step 3: Cross multiply
    1,104.54x = 1,657.78 × 584.92
  4. Step 4: Simplify right side
    1,104.54x = 969,663.07
  5. Step 5: Solve for x
    x = 969,663.07/1,104.54
  6. Step 6: Final answer
    x = 877.89

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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.