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Finding the Fourth Proportional to 854.61, 1,282.70 and 438.44

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Solution

The fourth proportional to 854.61, 1,282.70 and 438.44 is: 658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.61 : 1,282.70 = 438.44 : x
  2. Step 2: Convert to fraction form
    854.61/1,282.70 = 438.44/x
  3. Step 3: Cross multiply
    854.61x = 1,282.70 × 438.44
  4. Step 4: Simplify right side
    854.61x = 562,382.29
  5. Step 5: Solve for x
    x = 562,382.29/854.61
  6. Step 6: Final answer
    x = 658.06

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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.