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Finding the Fourth Proportional to 783.79, 1,175.67 and 296.73

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Solution

The fourth proportional to 783.79, 1,175.67 and 296.73 is: 445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.79 : 1,175.67 = 296.73 : x
  2. Step 2: Convert to fraction form
    783.79/1,175.67 = 296.73/x
  3. Step 3: Cross multiply
    783.79x = 1,175.67 × 296.73
  4. Step 4: Simplify right side
    783.79x = 348,856.56
  5. Step 5: Solve for x
    x = 348,856.56/783.79
  6. Step 6: Final answer
    x = 445.09

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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.