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Finding the Fourth Proportional to 901.78, 1,352.10 and 439.60

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Solution

The fourth proportional to 901.78, 1,352.10 and 439.60 is: 659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.78 : 1,352.10 = 439.60 : x
  2. Step 2: Convert to fraction form
    901.78/1,352.10 = 439.60/x
  3. Step 3: Cross multiply
    901.78x = 1,352.10 × 439.60
  4. Step 4: Simplify right side
    901.78x = 594,383.16
  5. Step 5: Solve for x
    x = 594,383.16/901.78
  6. Step 6: Final answer
    x = 659.12

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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.