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Finding the Fourth Proportional to 790.62, 1,185.78 and 242.72

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Solution

The fourth proportional to 790.62, 1,185.78 and 242.72 is: 364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.62 : 1,185.78 = 242.72 : x
  2. Step 2: Convert to fraction form
    790.62/1,185.78 = 242.72/x
  3. Step 3: Cross multiply
    790.62x = 1,185.78 × 242.72
  4. Step 4: Simplify right side
    790.62x = 287,812.52
  5. Step 5: Solve for x
    x = 287,812.52/790.62
  6. Step 6: Final answer
    x = 364.03

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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.