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Finding the Fourth Proportional to 784.96, 1,177.04 and 264.78

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Solution

The fourth proportional to 784.96, 1,177.04 and 264.78 is: 397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.96 : 1,177.04 = 264.78 : x
  2. Step 2: Convert to fraction form
    784.96/1,177.04 = 264.78/x
  3. Step 3: Cross multiply
    784.96x = 1,177.04 × 264.78
  4. Step 4: Simplify right side
    784.96x = 311,656.65
  5. Step 5: Solve for x
    x = 311,656.65/784.96
  6. Step 6: Final answer
    x = 397.04

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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.