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Finding the Fourth Proportional to 854.13, 1,280.11 and 468.93

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Solution

The fourth proportional to 854.13, 1,280.11 and 468.93 is: 702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.13 : 1,280.11 = 468.93 : x
  2. Step 2: Convert to fraction form
    854.13/1,280.11 = 468.93/x
  3. Step 3: Cross multiply
    854.13x = 1,280.11 × 468.93
  4. Step 4: Simplify right side
    854.13x = 600,281.98
  5. Step 5: Solve for x
    x = 600,281.98/854.13
  6. Step 6: Final answer
    x = 702.80

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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.