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Finding the Fourth Proportional to 1,521.80, 2,282.70 and 865.70

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Solution

The fourth proportional to 1,521.80, 2,282.70 and 865.70 is: 1,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.80 : 2,282.70 = 865.70 : x
  2. Step 2: Convert to fraction form
    1,521.80/2,282.70 = 865.70/x
  3. Step 3: Cross multiply
    1,521.80x = 2,282.70 × 865.70
  4. Step 4: Simplify right side
    1,521.80x = 1,976,133.39
  5. Step 5: Solve for x
    x = 1,976,133.39/1,521.80
  6. Step 6: Final answer
    x = 1,298.55

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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.