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Finding the Fourth Proportional to 854.24, 1,280.54 and 778.14

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Solution

The fourth proportional to 854.24, 1,280.54 and 778.14 is: 1,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.24 : 1,280.54 = 778.14 : x
  2. Step 2: Convert to fraction form
    854.24/1,280.54 = 778.14/x
  3. Step 3: Cross multiply
    854.24x = 1,280.54 × 778.14
  4. Step 4: Simplify right side
    854.24x = 996,441.34
  5. Step 5: Solve for x
    x = 996,441.34/854.24
  6. Step 6: Final answer
    x = 1,166.47

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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.