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Finding the Fourth Proportional to 784.87, 1,177.06 and 271.75

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Solution

The fourth proportional to 784.87, 1,177.06 and 271.75 is: 407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.87 : 1,177.06 = 271.75 : x
  2. Step 2: Convert to fraction form
    784.87/1,177.06 = 271.75/x
  3. Step 3: Cross multiply
    784.87x = 1,177.06 × 271.75
  4. Step 4: Simplify right side
    784.87x = 319,866.06
  5. Step 5: Solve for x
    x = 319,866.06/784.87
  6. Step 6: Final answer
    x = 407.54

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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.