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Finding the Fourth Proportional to 785.90, 1,178.86 and 401.42

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Solution

The fourth proportional to 785.90, 1,178.86 and 401.42 is: 602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.90 : 1,178.86 = 401.42 : x
  2. Step 2: Convert to fraction form
    785.90/1,178.86 = 401.42/x
  3. Step 3: Cross multiply
    785.90x = 1,178.86 × 401.42
  4. Step 4: Simplify right side
    785.90x = 473,217.98
  5. Step 5: Solve for x
    x = 473,217.98/785.90
  6. Step 6: Final answer
    x = 602.14

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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.