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Finding the Fourth Proportional to 784.79, 1,177.31 and 264.84

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Solution

The fourth proportional to 784.79, 1,177.31 and 264.84 is: 397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.79 : 1,177.31 = 264.84 : x
  2. Step 2: Convert to fraction form
    784.79/1,177.31 = 264.84/x
  3. Step 3: Cross multiply
    784.79x = 1,177.31 × 264.84
  4. Step 4: Simplify right side
    784.79x = 311,795.84
  5. Step 5: Solve for x
    x = 311,795.84/784.79
  6. Step 6: Final answer
    x = 397.30

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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.