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Finding the Fourth Proportional to 721.77, 1,083.42 and 586.45

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Solution

The fourth proportional to 721.77, 1,083.42 and 586.45 is: 880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.77 : 1,083.42 = 586.45 : x
  2. Step 2: Convert to fraction form
    721.77/1,083.42 = 586.45/x
  3. Step 3: Cross multiply
    721.77x = 1,083.42 × 586.45
  4. Step 4: Simplify right side
    721.77x = 635,368.95
  5. Step 5: Solve for x
    x = 635,368.95/721.77
  6. Step 6: Final answer
    x = 880.29

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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.