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Finding the Fourth Proportional to 959.16, 1,440.54 and 873.24

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Solution

The fourth proportional to 959.16, 1,440.54 and 873.24 is: 1,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.16 : 1,440.54 = 873.24 : x
  2. Step 2: Convert to fraction form
    959.16/1,440.54 = 873.24/x
  3. Step 3: Cross multiply
    959.16x = 1,440.54 × 873.24
  4. Step 4: Simplify right side
    959.16x = 1,257,937.15
  5. Step 5: Solve for x
    x = 1,257,937.15/959.16
  6. Step 6: Final answer
    x = 1,311.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.