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Finding the Fourth Proportional to 758.52, 1,138.11 and 373.77

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Solution

The fourth proportional to 758.52, 1,138.11 and 373.77 is: 560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.52 : 1,138.11 = 373.77 : x
  2. Step 2: Convert to fraction form
    758.52/1,138.11 = 373.77/x
  3. Step 3: Cross multiply
    758.52x = 1,138.11 × 373.77
  4. Step 4: Simplify right side
    758.52x = 425,391.37
  5. Step 5: Solve for x
    x = 425,391.37/758.52
  6. Step 6: Final answer
    x = 560.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.