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Finding the Fourth Proportional to 1,280.86, 1,921.33 and 356.49

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Solution

The fourth proportional to 1,280.86, 1,921.33 and 356.49 is: 534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.86 : 1,921.33 = 356.49 : x
  2. Step 2: Convert to fraction form
    1,280.86/1,921.33 = 356.49/x
  3. Step 3: Cross multiply
    1,280.86x = 1,921.33 × 356.49
  4. Step 4: Simplify right side
    1,280.86x = 684,934.93
  5. Step 5: Solve for x
    x = 684,934.93/1,280.86
  6. Step 6: Final answer
    x = 534.75

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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.