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Finding the Fourth Proportional to 854.66, 1,280.75 and 488.69

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Solution

The fourth proportional to 854.66, 1,280.75 and 488.69 is: 732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.66 : 1,280.75 = 488.69 : x
  2. Step 2: Convert to fraction form
    854.66/1,280.75 = 488.69/x
  3. Step 3: Cross multiply
    854.66x = 1,280.75 × 488.69
  4. Step 4: Simplify right side
    854.66x = 625,880.87
  5. Step 5: Solve for x
    x = 625,880.87/854.66
  6. Step 6: Final answer
    x = 732.32

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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.