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Finding the Fourth Proportional to 780.39, 1,169.97 and 502.76

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Solution

The fourth proportional to 780.39, 1,169.97 and 502.76 is: 753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.39 : 1,169.97 = 502.76 : x
  2. Step 2: Convert to fraction form
    780.39/1,169.97 = 502.76/x
  3. Step 3: Cross multiply
    780.39x = 1,169.97 × 502.76
  4. Step 4: Simplify right side
    780.39x = 588,214.12
  5. Step 5: Solve for x
    x = 588,214.12/780.39
  6. Step 6: Final answer
    x = 753.74

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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.