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Finding the Fourth Proportional to 881.09, 1,320.08 and 587.90

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Solution

The fourth proportional to 881.09, 1,320.08 and 587.90 is: 880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.09 : 1,320.08 = 587.90 : x
  2. Step 2: Convert to fraction form
    881.09/1,320.08 = 587.90/x
  3. Step 3: Cross multiply
    881.09x = 1,320.08 × 587.90
  4. Step 4: Simplify right side
    881.09x = 776,079.80
  5. Step 5: Solve for x
    x = 776,079.80/881.09
  6. Step 6: Final answer
    x = 880.82

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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.