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Finding the Fourth Proportional to 781.49, 1,170.59 and 506.77

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Solution

The fourth proportional to 781.49, 1,170.59 and 506.77 is: 759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.49 : 1,170.59 = 506.77 : x
  2. Step 2: Convert to fraction form
    781.49/1,170.59 = 506.77/x
  3. Step 3: Cross multiply
    781.49x = 1,170.59 × 506.77
  4. Step 4: Simplify right side
    781.49x = 593,214.43
  5. Step 5: Solve for x
    x = 593,214.43/781.49
  6. Step 6: Final answer
    x = 759.08

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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.