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Finding the Fourth Proportional to 758.37, 1,131.78 and 738.93

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Solution

The fourth proportional to 758.37, 1,131.78 and 738.93 is: 1,102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.37 : 1,131.78 = 738.93 : x
  2. Step 2: Convert to fraction form
    758.37/1,131.78 = 738.93/x
  3. Step 3: Cross multiply
    758.37x = 1,131.78 × 738.93
  4. Step 4: Simplify right side
    758.37x = 836,306.20
  5. Step 5: Solve for x
    x = 836,306.20/758.37
  6. Step 6: Final answer
    x = 1,102.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.