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Finding the Fourth Proportional to 746.72, 1,024 and 709.28

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Solution

The fourth proportional to 746.72, 1,024 and 709.28 is: 972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.72 : 1,024 = 709.28 : x
  2. Step 2: Convert to fraction form
    746.72/1,024 = 709.28/x
  3. Step 3: Cross multiply
    746.72x = 1,024 × 709.28
  4. Step 4: Simplify right side
    746.72x = 726,302.72
  5. Step 5: Solve for x
    x = 726,302.72/746.72
  6. Step 6: Final answer
    x = 972.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.