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Finding the Fourth Proportional to 842.08, 1,261.41 and 476.10

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Solution

The fourth proportional to 842.08, 1,261.41 and 476.10 is: 713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.08 : 1,261.41 = 476.10 : x
  2. Step 2: Convert to fraction form
    842.08/1,261.41 = 476.10/x
  3. Step 3: Cross multiply
    842.08x = 1,261.41 × 476.10
  4. Step 4: Simplify right side
    842.08x = 600,557.30
  5. Step 5: Solve for x
    x = 600,557.30/842.08
  6. Step 6: Final answer
    x = 713.18

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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.