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Finding the Fourth Proportional to 800.80, 1,205.44 and 585.76

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Solution

The fourth proportional to 800.80, 1,205.44 and 585.76 is: 881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.80 : 1,205.44 = 585.76 : x
  2. Step 2: Convert to fraction form
    800.80/1,205.44 = 585.76/x
  3. Step 3: Cross multiply
    800.80x = 1,205.44 × 585.76
  4. Step 4: Simplify right side
    800.80x = 706,098.53
  5. Step 5: Solve for x
    x = 706,098.53/800.80
  6. Step 6: Final answer
    x = 881.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.