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Finding the Fourth Proportional to 784.32, 1,175.92 and 296.96

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Solution

The fourth proportional to 784.32, 1,175.92 and 296.96 is: 445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.32 : 1,175.92 = 296.96 : x
  2. Step 2: Convert to fraction form
    784.32/1,175.92 = 296.96/x
  3. Step 3: Cross multiply
    784.32x = 1,175.92 × 296.96
  4. Step 4: Simplify right side
    784.32x = 349,201.20
  5. Step 5: Solve for x
    x = 349,201.20/784.32
  6. Step 6: Final answer
    x = 445.23

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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.