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Finding the Fourth Proportional to 1,233.23, 1,701.64 and 701.90

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Solution

The fourth proportional to 1,233.23, 1,701.64 and 701.90 is: 968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.23 : 1,701.64 = 701.90 : x
  2. Step 2: Convert to fraction form
    1,233.23/1,701.64 = 701.90/x
  3. Step 3: Cross multiply
    1,233.23x = 1,701.64 × 701.90
  4. Step 4: Simplify right side
    1,233.23x = 1,194,379.87
  5. Step 5: Solve for x
    x = 1,194,379.87/1,233.23
  6. Step 6: Final answer
    x = 968.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.