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Finding the Fourth Proportional to 886.65, 1,223.52 and 591.87

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Solution

The fourth proportional to 886.65, 1,223.52 and 591.87 is: 816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.65 : 1,223.52 = 591.87 : x
  2. Step 2: Convert to fraction form
    886.65/1,223.52 = 591.87/x
  3. Step 3: Cross multiply
    886.65x = 1,223.52 × 591.87
  4. Step 4: Simplify right side
    886.65x = 724,164.78
  5. Step 5: Solve for x
    x = 724,164.78/886.65
  6. Step 6: Final answer
    x = 816.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.