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Finding the Fourth Proportional to 785.79, 1,178.33 and 461.07

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Solution

The fourth proportional to 785.79, 1,178.33 and 461.07 is: 691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.79 : 1,178.33 = 461.07 : x
  2. Step 2: Convert to fraction form
    785.79/1,178.33 = 461.07/x
  3. Step 3: Cross multiply
    785.79x = 1,178.33 × 461.07
  4. Step 4: Simplify right side
    785.79x = 543,290.31
  5. Step 5: Solve for x
    x = 543,290.31/785.79
  6. Step 6: Final answer
    x = 691.39

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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.