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Finding the Fourth Proportional to 1,520.77, 2,098.70 and 891.75

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Solution

The fourth proportional to 1,520.77, 2,098.70 and 891.75 is: 1,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.77 : 2,098.70 = 891.75 : x
  2. Step 2: Convert to fraction form
    1,520.77/2,098.70 = 891.75/x
  3. Step 3: Cross multiply
    1,520.77x = 2,098.70 × 891.75
  4. Step 4: Simplify right side
    1,520.77x = 1,871,515.73
  5. Step 5: Solve for x
    x = 1,871,515.73/1,520.77
  6. Step 6: Final answer
    x = 1,230.64

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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.