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Finding the Fourth Proportional to 1,280.68, 1,920.78 and 587.39

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Solution

The fourth proportional to 1,280.68, 1,920.78 and 587.39 is: 880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.68 : 1,920.78 = 587.39 : x
  2. Step 2: Convert to fraction form
    1,280.68/1,920.78 = 587.39/x
  3. Step 3: Cross multiply
    1,280.68x = 1,920.78 × 587.39
  4. Step 4: Simplify right side
    1,280.68x = 1,128,237.36
  5. Step 5: Solve for x
    x = 1,128,237.36/1,280.68
  6. Step 6: Final answer
    x = 880.97

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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.