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Finding the Fourth Proportional to 873.90, 1,309.92 and 440.14

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Solution

The fourth proportional to 873.90, 1,309.92 and 440.14 is: 659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.90 : 1,309.92 = 440.14 : x
  2. Step 2: Convert to fraction form
    873.90/1,309.92 = 440.14/x
  3. Step 3: Cross multiply
    873.90x = 1,309.92 × 440.14
  4. Step 4: Simplify right side
    873.90x = 576,551.48
  5. Step 5: Solve for x
    x = 576,551.48/873.90
  6. Step 6: Final answer
    x = 659.75

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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.