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Finding the Fourth Proportional to 784.14, 1,174.45 and 769.08

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Solution

The fourth proportional to 784.14, 1,174.45 and 769.08 is: 1,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.14 : 1,174.45 = 769.08 : x
  2. Step 2: Convert to fraction form
    784.14/1,174.45 = 769.08/x
  3. Step 3: Cross multiply
    784.14x = 1,174.45 × 769.08
  4. Step 4: Simplify right side
    784.14x = 903,246.01
  5. Step 5: Solve for x
    x = 903,246.01/784.14
  6. Step 6: Final answer
    x = 1,151.89

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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.