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Finding the Fourth Proportional to 784.97, 1,177.27 and 264.84

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Solution

The fourth proportional to 784.97, 1,177.27 and 264.84 is: 397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.97 : 1,177.27 = 264.84 : x
  2. Step 2: Convert to fraction form
    784.97/1,177.27 = 264.84/x
  3. Step 3: Cross multiply
    784.97x = 1,177.27 × 264.84
  4. Step 4: Simplify right side
    784.97x = 311,788.19
  5. Step 5: Solve for x
    x = 311,788.19/784.97
  6. Step 6: Final answer
    x = 397.20

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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.