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Finding the Fourth Proportional to 758.76, 1,137.33 and 319.92

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Solution

The fourth proportional to 758.76, 1,137.33 and 319.92 is: 479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.76 : 1,137.33 = 319.92 : x
  2. Step 2: Convert to fraction form
    758.76/1,137.33 = 319.92/x
  3. Step 3: Cross multiply
    758.76x = 1,137.33 × 319.92
  4. Step 4: Simplify right side
    758.76x = 363,854.61
  5. Step 5: Solve for x
    x = 363,854.61/758.76
  6. Step 6: Final answer
    x = 479.54

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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.