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Finding the Fourth Proportional to 1,367.25, 2,050.88 and 586.75

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Solution

The fourth proportional to 1,367.25, 2,050.88 and 586.75 is: 880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.25 : 2,050.88 = 586.75 : x
  2. Step 2: Convert to fraction form
    1,367.25/2,050.88 = 586.75/x
  3. Step 3: Cross multiply
    1,367.25x = 2,050.88 × 586.75
  4. Step 4: Simplify right side
    1,367.25x = 1,203,345.78
  5. Step 5: Solve for x
    x = 1,203,345.78/1,367.25
  6. Step 6: Final answer
    x = 880.12

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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.