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Finding the Fourth Proportional to 758.24, 1,129.92 and 751.86

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Solution

The fourth proportional to 758.24, 1,129.92 and 751.86 is: 1,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.24 : 1,129.92 = 751.86 : x
  2. Step 2: Convert to fraction form
    758.24/1,129.92 = 751.86/x
  3. Step 3: Cross multiply
    758.24x = 1,129.92 × 751.86
  4. Step 4: Simplify right side
    758.24x = 849,541.65
  5. Step 5: Solve for x
    x = 849,541.65/758.24
  6. Step 6: Final answer
    x = 1,120.41

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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.