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Finding the Fourth Proportional to 887.00, 1,223.82 and 591.75

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Solution

The fourth proportional to 887.00, 1,223.82 and 591.75 is: 816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.00 : 1,223.82 = 591.75 : x
  2. Step 2: Convert to fraction form
    887.00/1,223.82 = 591.75/x
  3. Step 3: Cross multiply
    887.00x = 1,223.82 × 591.75
  4. Step 4: Simplify right side
    887.00x = 724,195.49
  5. Step 5: Solve for x
    x = 724,195.49/887.00
  6. Step 6: Final answer
    x = 816.46

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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.