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Finding the Fourth Proportional to 790.96, 1,186.44 and 278

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Solution

The fourth proportional to 790.96, 1,186.44 and 278 is: 417

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.96 : 1,186.44 = 278 : x
  2. Step 2: Convert to fraction form
    790.96/1,186.44 = 278/x
  3. Step 3: Cross multiply
    790.96x = 1,186.44 × 278
  4. Step 4: Simplify right side
    790.96x = 329,830.32
  5. Step 5: Solve for x
    x = 329,830.32/790.96
  6. Step 6: Final answer
    x = 417

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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.