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Finding the Fourth Proportional to 753.67, 1,037.91 and 706.79

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Solution

The fourth proportional to 753.67, 1,037.91 and 706.79 is: 973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.67 : 1,037.91 = 706.79 : x
  2. Step 2: Convert to fraction form
    753.67/1,037.91 = 706.79/x
  3. Step 3: Cross multiply
    753.67x = 1,037.91 × 706.79
  4. Step 4: Simplify right side
    753.67x = 733,589.65
  5. Step 5: Solve for x
    x = 733,589.65/753.67
  6. Step 6: Final answer
    x = 973.35

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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.