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Finding the Fourth Proportional to 3,065.25, 4,598.01 and 873.78

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Solution

The fourth proportional to 3,065.25, 4,598.01 and 873.78 is: 1,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.25 : 4,598.01 = 873.78 : x
  2. Step 2: Convert to fraction form
    3,065.25/4,598.01 = 873.78/x
  3. Step 3: Cross multiply
    3,065.25x = 4,598.01 × 873.78
  4. Step 4: Simplify right side
    3,065.25x = 4,017,649.18
  5. Step 5: Solve for x
    x = 4,017,649.18/3,065.25
  6. Step 6: Final answer
    x = 1,310.71

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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.