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Finding the Fourth Proportional to 1,281.60, 1,921.17 and 818.07

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Solution

The fourth proportional to 1,281.60, 1,921.17 and 818.07 is: 1,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.60 : 1,921.17 = 818.07 : x
  2. Step 2: Convert to fraction form
    1,281.60/1,921.17 = 818.07/x
  3. Step 3: Cross multiply
    1,281.60x = 1,921.17 × 818.07
  4. Step 4: Simplify right side
    1,281.60x = 1,571,651.54
  5. Step 5: Solve for x
    x = 1,571,651.54/1,281.60
  6. Step 6: Final answer
    x = 1,226.32

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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.