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Finding the Fourth Proportional to 959.88, 1,440.36 and 467.45

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Solution

The fourth proportional to 959.88, 1,440.36 and 467.45 is: 701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.88 : 1,440.36 = 467.45 : x
  2. Step 2: Convert to fraction form
    959.88/1,440.36 = 467.45/x
  3. Step 3: Cross multiply
    959.88x = 1,440.36 × 467.45
  4. Step 4: Simplify right side
    959.88x = 673,289.08
  5. Step 5: Solve for x
    x = 673,289.08/959.88
  6. Step 6: Final answer
    x = 701.43

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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.