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Finding the Fourth Proportional to 778.32, 1,168.06 and 545.68

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Solution

The fourth proportional to 778.32, 1,168.06 and 545.68 is: 818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.32 : 1,168.06 = 545.68 : x
  2. Step 2: Convert to fraction form
    778.32/1,168.06 = 545.68/x
  3. Step 3: Cross multiply
    778.32x = 1,168.06 × 545.68
  4. Step 4: Simplify right side
    778.32x = 637,386.98
  5. Step 5: Solve for x
    x = 637,386.98/778.32
  6. Step 6: Final answer
    x = 818.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.