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Finding the Fourth Proportional to 1,046.73, 1,569.06 and 584.90

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Solution

The fourth proportional to 1,046.73, 1,569.06 and 584.90 is: 876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.73 : 1,569.06 = 584.90 : x
  2. Step 2: Convert to fraction form
    1,046.73/1,569.06 = 584.90/x
  3. Step 3: Cross multiply
    1,046.73x = 1,569.06 × 584.90
  4. Step 4: Simplify right side
    1,046.73x = 917,735.35
  5. Step 5: Solve for x
    x = 917,735.35/1,046.73
  6. Step 6: Final answer
    x = 876.77

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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.