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Finding the Fourth Proportional to 854.31, 1,281.77 and 421.77

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Solution

The fourth proportional to 854.31, 1,281.77 and 421.77 is: 632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.31 : 1,281.77 = 421.77 : x
  2. Step 2: Convert to fraction form
    854.31/1,281.77 = 421.77/x
  3. Step 3: Cross multiply
    854.31x = 1,281.77 × 421.77
  4. Step 4: Simplify right side
    854.31x = 540,612.13
  5. Step 5: Solve for x
    x = 540,612.13/854.31
  6. Step 6: Final answer
    x = 632.81

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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.