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Finding the Fourth Proportional to 784.81, 1,177.14 and 297.86

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Solution

The fourth proportional to 784.81, 1,177.14 and 297.86 is: 446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.81 : 1,177.14 = 297.86 : x
  2. Step 2: Convert to fraction form
    784.81/1,177.14 = 297.86/x
  3. Step 3: Cross multiply
    784.81x = 1,177.14 × 297.86
  4. Step 4: Simplify right side
    784.81x = 350,622.92
  5. Step 5: Solve for x
    x = 350,622.92/784.81
  6. Step 6: Final answer
    x = 446.76

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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.