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Finding the Fourth Proportional to 781.05, 1,170.65 and 434.30

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Solution

The fourth proportional to 781.05, 1,170.65 and 434.30 is: 650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.05 : 1,170.65 = 434.30 : x
  2. Step 2: Convert to fraction form
    781.05/1,170.65 = 434.30/x
  3. Step 3: Cross multiply
    781.05x = 1,170.65 × 434.30
  4. Step 4: Simplify right side
    781.05x = 508,413.30
  5. Step 5: Solve for x
    x = 508,413.30/781.05
  6. Step 6: Final answer
    x = 650.94

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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.