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Finding the Fourth Proportional to 758.84, 1,137.02 and 296.09

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Solution

The fourth proportional to 758.84, 1,137.02 and 296.09 is: 443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.84 : 1,137.02 = 296.09 : x
  2. Step 2: Convert to fraction form
    758.84/1,137.02 = 296.09/x
  3. Step 3: Cross multiply
    758.84x = 1,137.02 × 296.09
  4. Step 4: Simplify right side
    758.84x = 336,660.25
  5. Step 5: Solve for x
    x = 336,660.25/758.84
  6. Step 6: Final answer
    x = 443.65

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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.