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Finding the Fourth Proportional to 879.54, 1,320.93 and 591.18

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Solution

The fourth proportional to 879.54, 1,320.93 and 591.18 is: 887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.54 : 1,320.93 = 591.18 : x
  2. Step 2: Convert to fraction form
    879.54/1,320.93 = 591.18/x
  3. Step 3: Cross multiply
    879.54x = 1,320.93 × 591.18
  4. Step 4: Simplify right side
    879.54x = 780,907.40
  5. Step 5: Solve for x
    x = 780,907.40/879.54
  6. Step 6: Final answer
    x = 887.86

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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.