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Finding the Fourth Proportional to 790.36, 1,184.82 and 277.08

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Solution

The fourth proportional to 790.36, 1,184.82 and 277.08 is: 415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.36 : 1,184.82 = 277.08 : x
  2. Step 2: Convert to fraction form
    790.36/1,184.82 = 277.08/x
  3. Step 3: Cross multiply
    790.36x = 1,184.82 × 277.08
  4. Step 4: Simplify right side
    790.36x = 328,289.93
  5. Step 5: Solve for x
    x = 328,289.93/790.36
  6. Step 6: Final answer
    x = 415.37

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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.