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Finding the Fourth Proportional to 960.06, 1,440.45 and 688.32

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Solution

The fourth proportional to 960.06, 1,440.45 and 688.32 is: 1,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.06 : 1,440.45 = 688.32 : x
  2. Step 2: Convert to fraction form
    960.06/1,440.45 = 688.32/x
  3. Step 3: Cross multiply
    960.06x = 1,440.45 × 688.32
  4. Step 4: Simplify right side
    960.06x = 991,490.54
  5. Step 5: Solve for x
    x = 991,490.54/960.06
  6. Step 6: Final answer
    x = 1,032.74

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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.