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Finding the Fourth Proportional to 781.12, 1,172.12 and 434.48

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Solution

The fourth proportional to 781.12, 1,172.12 and 434.48 is: 651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.12 : 1,172.12 = 434.48 : x
  2. Step 2: Convert to fraction form
    781.12/1,172.12 = 434.48/x
  3. Step 3: Cross multiply
    781.12x = 1,172.12 × 434.48
  4. Step 4: Simplify right side
    781.12x = 509,262.70
  5. Step 5: Solve for x
    x = 509,262.70/781.12
  6. Step 6: Final answer
    x = 651.96

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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.