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Finding the Fourth Proportional to 1,283.76, 1,921.20 and 872.40

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Solution

The fourth proportional to 1,283.76, 1,921.20 and 872.40 is: 1,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.76 : 1,921.20 = 872.40 : x
  2. Step 2: Convert to fraction form
    1,283.76/1,921.20 = 872.40/x
  3. Step 3: Cross multiply
    1,283.76x = 1,921.20 × 872.40
  4. Step 4: Simplify right side
    1,283.76x = 1,676,054.88
  5. Step 5: Solve for x
    x = 1,676,054.88/1,283.76
  6. Step 6: Final answer
    x = 1,305.58

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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.