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Finding the Fourth Proportional to 1,046.75, 1,569.09 and 584.75

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Solution

The fourth proportional to 1,046.75, 1,569.09 and 584.75 is: 876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.75 : 1,569.09 = 584.75 : x
  2. Step 2: Convert to fraction form
    1,046.75/1,569.09 = 584.75/x
  3. Step 3: Cross multiply
    1,046.75x = 1,569.09 × 584.75
  4. Step 4: Simplify right side
    1,046.75x = 917,517.53
  5. Step 5: Solve for x
    x = 917,517.53/1,046.75
  6. Step 6: Final answer
    x = 876.54

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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.