Home / 1,151.22-1,586.78-778.08

Finding the Fourth Proportional to 1,151.22, 1,586.78 and 778.08

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Solution

The fourth proportional to 1,151.22, 1,586.78 and 778.08 is: 1,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.22 : 1,586.78 = 778.08 : x
  2. Step 2: Convert to fraction form
    1,151.22/1,586.78 = 778.08/x
  3. Step 3: Cross multiply
    1,151.22x = 1,586.78 × 778.08
  4. Step 4: Simplify right side
    1,151.22x = 1,234,641.78
  5. Step 5: Solve for x
    x = 1,234,641.78/1,151.22
  6. Step 6: Final answer
    x = 1,072.46

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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.