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Finding the Fourth Proportional to 784.95, 1,177.53 and 264.73

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Solution

The fourth proportional to 784.95, 1,177.53 and 264.73 is: 397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.95 : 1,177.53 = 264.73 : x
  2. Step 2: Convert to fraction form
    784.95/1,177.53 = 264.73/x
  3. Step 3: Cross multiply
    784.95x = 1,177.53 × 264.73
  4. Step 4: Simplify right side
    784.95x = 311,727.52
  5. Step 5: Solve for x
    x = 311,727.52/784.95
  6. Step 6: Final answer
    x = 397.13

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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.