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Finding the Fourth Proportional to 778.71, 1,168.55 and 292.11

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Solution

The fourth proportional to 778.71, 1,168.55 and 292.11 is: 438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.71 : 1,168.55 = 292.11 : x
  2. Step 2: Convert to fraction form
    778.71/1,168.55 = 292.11/x
  3. Step 3: Cross multiply
    778.71x = 1,168.55 × 292.11
  4. Step 4: Simplify right side
    778.71x = 341,345.14
  5. Step 5: Solve for x
    x = 341,345.14/778.71
  6. Step 6: Final answer
    x = 438.35

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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.