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Finding the Fourth Proportional to 784.96, 1,177.32 and 298.24

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Solution

The fourth proportional to 784.96, 1,177.32 and 298.24 is: 447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.96 : 1,177.32 = 298.24 : x
  2. Step 2: Convert to fraction form
    784.96/1,177.32 = 298.24/x
  3. Step 3: Cross multiply
    784.96x = 1,177.32 × 298.24
  4. Step 4: Simplify right side
    784.96x = 351,123.92
  5. Step 5: Solve for x
    x = 351,123.92/784.96
  6. Step 6: Final answer
    x = 447.31

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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.