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Finding the Fourth Proportional to 1,282.99, 1,921.32 and 819.40

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Solution

The fourth proportional to 1,282.99, 1,921.32 and 819.40 is: 1,227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.99 : 1,921.32 = 819.40 : x
  2. Step 2: Convert to fraction form
    1,282.99/1,921.32 = 819.40/x
  3. Step 3: Cross multiply
    1,282.99x = 1,921.32 × 819.40
  4. Step 4: Simplify right side
    1,282.99x = 1,574,329.61
  5. Step 5: Solve for x
    x = 1,574,329.61/1,282.99
  6. Step 6: Final answer
    x = 1,227.08

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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.