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Finding the Fourth Proportional to 670.78, 1,006.22 and 183.82

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Solution

The fourth proportional to 670.78, 1,006.22 and 183.82 is: 275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.78 : 1,006.22 = 183.82 : x
  2. Step 2: Convert to fraction form
    670.78/1,006.22 = 183.82/x
  3. Step 3: Cross multiply
    670.78x = 1,006.22 × 183.82
  4. Step 4: Simplify right side
    670.78x = 184,959.93
  5. Step 5: Solve for x
    x = 184,959.93/670.78
  6. Step 6: Final answer
    x = 275.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.