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Finding the Fourth Proportional to 968.24, 1,334.76 and 734.96

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Solution

The fourth proportional to 968.24, 1,334.76 and 734.96 is: 1,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.24 : 1,334.76 = 734.96 : x
  2. Step 2: Convert to fraction form
    968.24/1,334.76 = 734.96/x
  3. Step 3: Cross multiply
    968.24x = 1,334.76 × 734.96
  4. Step 4: Simplify right side
    968.24x = 980,995.21
  5. Step 5: Solve for x
    x = 980,995.21/968.24
  6. Step 6: Final answer
    x = 1,013.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.