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Finding the Fourth Proportional to 781.42, 1,171.08 and 434.90

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Solution

The fourth proportional to 781.42, 1,171.08 and 434.90 is: 651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.42 : 1,171.08 = 434.90 : x
  2. Step 2: Convert to fraction form
    781.42/1,171.08 = 434.90/x
  3. Step 3: Cross multiply
    781.42x = 1,171.08 × 434.90
  4. Step 4: Simplify right side
    781.42x = 509,302.69
  5. Step 5: Solve for x
    x = 509,302.69/781.42
  6. Step 6: Final answer
    x = 651.77

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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.