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Finding the Fourth Proportional to 854.34, 1,280.46 and 391.65

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Solution

The fourth proportional to 854.34, 1,280.46 and 391.65 is: 586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.34 : 1,280.46 = 391.65 : x
  2. Step 2: Convert to fraction form
    854.34/1,280.46 = 391.65/x
  3. Step 3: Cross multiply
    854.34x = 1,280.46 × 391.65
  4. Step 4: Simplify right side
    854.34x = 501,492.16
  5. Step 5: Solve for x
    x = 501,492.16/854.34
  6. Step 6: Final answer
    x = 586.99

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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.