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Finding the Fourth Proportional to 1,151.65, 1,586.49 and 951.65

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Solution

The fourth proportional to 1,151.65, 1,586.49 and 951.65 is: 1,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.65 : 1,586.49 = 951.65 : x
  2. Step 2: Convert to fraction form
    1,151.65/1,586.49 = 951.65/x
  3. Step 3: Cross multiply
    1,151.65x = 1,586.49 × 951.65
  4. Step 4: Simplify right side
    1,151.65x = 1,509,775.28
  5. Step 5: Solve for x
    x = 1,509,775.28/1,151.65
  6. Step 6: Final answer
    x = 1,310.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.