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Finding the Fourth Proportional to 784.83, 1,177.07 and 236.90

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Solution

The fourth proportional to 784.83, 1,177.07 and 236.90 is: 355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.83 : 1,177.07 = 236.90 : x
  2. Step 2: Convert to fraction form
    784.83/1,177.07 = 236.90/x
  3. Step 3: Cross multiply
    784.83x = 1,177.07 × 236.90
  4. Step 4: Simplify right side
    784.83x = 278,851.42
  5. Step 5: Solve for x
    x = 278,851.42/784.83
  6. Step 6: Final answer
    x = 355.30

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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.