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Finding the Fourth Proportional to 1,360.20, 2,040.84 and 897.88

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Solution

The fourth proportional to 1,360.20, 2,040.84 and 897.88 is: 1,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.20 : 2,040.84 = 897.88 : x
  2. Step 2: Convert to fraction form
    1,360.20/2,040.84 = 897.88/x
  3. Step 3: Cross multiply
    1,360.20x = 2,040.84 × 897.88
  4. Step 4: Simplify right side
    1,360.20x = 1,832,429.42
  5. Step 5: Solve for x
    x = 1,832,429.42/1,360.20
  6. Step 6: Final answer
    x = 1,347.18

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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.