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Finding the Fourth Proportional to 1,240.45, 1,859.83 and 591.25

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Solution

The fourth proportional to 1,240.45, 1,859.83 and 591.25 is: 886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.45 : 1,859.83 = 591.25 : x
  2. Step 2: Convert to fraction form
    1,240.45/1,859.83 = 591.25/x
  3. Step 3: Cross multiply
    1,240.45x = 1,859.83 × 591.25
  4. Step 4: Simplify right side
    1,240.45x = 1,099,624.49
  5. Step 5: Solve for x
    x = 1,099,624.49/1,240.45
  6. Step 6: Final answer
    x = 886.47

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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.