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Finding the Fourth Proportional to 747.23, 1,029.71 and 694.37

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Solution

The fourth proportional to 747.23, 1,029.71 and 694.37 is: 956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.23 : 1,029.71 = 694.37 : x
  2. Step 2: Convert to fraction form
    747.23/1,029.71 = 694.37/x
  3. Step 3: Cross multiply
    747.23x = 1,029.71 × 694.37
  4. Step 4: Simplify right side
    747.23x = 715,004.04
  5. Step 5: Solve for x
    x = 715,004.04/747.23
  6. Step 6: Final answer
    x = 956.88

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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.