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Finding the Fourth Proportional to 784.82, 1,177.25 and 237.01

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Solution

The fourth proportional to 784.82, 1,177.25 and 237.01 is: 355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.82 : 1,177.25 = 237.01 : x
  2. Step 2: Convert to fraction form
    784.82/1,177.25 = 237.01/x
  3. Step 3: Cross multiply
    784.82x = 1,177.25 × 237.01
  4. Step 4: Simplify right side
    784.82x = 279,020.02
  5. Step 5: Solve for x
    x = 279,020.02/784.82
  6. Step 6: Final answer
    x = 355.52

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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.