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Finding the Fourth Proportional to 784.69, 1,177.20 and 351.88

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Solution

The fourth proportional to 784.69, 1,177.20 and 351.88 is: 527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.69 : 1,177.20 = 351.88 : x
  2. Step 2: Convert to fraction form
    784.69/1,177.20 = 351.88/x
  3. Step 3: Cross multiply
    784.69x = 1,177.20 × 351.88
  4. Step 4: Simplify right side
    784.69x = 414,230.19
  5. Step 5: Solve for x
    x = 414,230.19/784.69
  6. Step 6: Final answer
    x = 527.89

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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.