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Finding the Fourth Proportional to 701.89, 1,045.83 and 670.45

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Solution

The fourth proportional to 701.89, 1,045.83 and 670.45 is: 998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.89 : 1,045.83 = 670.45 : x
  2. Step 2: Convert to fraction form
    701.89/1,045.83 = 670.45/x
  3. Step 3: Cross multiply
    701.89x = 1,045.83 × 670.45
  4. Step 4: Simplify right side
    701.89x = 701,179.17
  5. Step 5: Solve for x
    x = 701,179.17/701.89
  6. Step 6: Final answer
    x = 998.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.