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Finding the Fourth Proportional to 854.26, 1,280.30 and 469.06

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Solution

The fourth proportional to 854.26, 1,280.30 and 469.06 is: 702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.26 : 1,280.30 = 469.06 : x
  2. Step 2: Convert to fraction form
    854.26/1,280.30 = 469.06/x
  3. Step 3: Cross multiply
    854.26x = 1,280.30 × 469.06
  4. Step 4: Simplify right side
    854.26x = 600,537.52
  5. Step 5: Solve for x
    x = 600,537.52/854.26
  6. Step 6: Final answer
    x = 702.99

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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.