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Finding the Fourth Proportional to 670.89, 1,006.34 and 183.95

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Solution

The fourth proportional to 670.89, 1,006.34 and 183.95 is: 275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.89 : 1,006.34 = 183.95 : x
  2. Step 2: Convert to fraction form
    670.89/1,006.34 = 183.95/x
  3. Step 3: Cross multiply
    670.89x = 1,006.34 × 183.95
  4. Step 4: Simplify right side
    670.89x = 185,116.24
  5. Step 5: Solve for x
    x = 185,116.24/670.89
  6. Step 6: Final answer
    x = 275.93

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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.