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Finding the Fourth Proportional to 1,280.16, 1,916.52 and 956.88

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Solution

The fourth proportional to 1,280.16, 1,916.52 and 956.88 is: 1,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.16 : 1,916.52 = 956.88 : x
  2. Step 2: Convert to fraction form
    1,280.16/1,916.52 = 956.88/x
  3. Step 3: Cross multiply
    1,280.16x = 1,916.52 × 956.88
  4. Step 4: Simplify right side
    1,280.16x = 1,833,879.66
  5. Step 5: Solve for x
    x = 1,833,879.66/1,280.16
  6. Step 6: Final answer
    x = 1,432.54

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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.