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Finding the Fourth Proportional to 784.64, 1,177.16 and 236.88

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Solution

The fourth proportional to 784.64, 1,177.16 and 236.88 is: 355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.64 : 1,177.16 = 236.88 : x
  2. Step 2: Convert to fraction form
    784.64/1,177.16 = 236.88/x
  3. Step 3: Cross multiply
    784.64x = 1,177.16 × 236.88
  4. Step 4: Simplify right side
    784.64x = 278,844.48
  5. Step 5: Solve for x
    x = 278,844.48/784.64
  6. Step 6: Final answer
    x = 355.38

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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.