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Finding the Fourth Proportional to 784.87, 1,177.34 and 264.83

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Solution

The fourth proportional to 784.87, 1,177.34 and 264.83 is: 397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.87 : 1,177.34 = 264.83 : x
  2. Step 2: Convert to fraction form
    784.87/1,177.34 = 264.83/x
  3. Step 3: Cross multiply
    784.87x = 1,177.34 × 264.83
  4. Step 4: Simplify right side
    784.87x = 311,796.02
  5. Step 5: Solve for x
    x = 311,796.02/784.87
  6. Step 6: Final answer
    x = 397.26

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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.