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Finding the Fourth Proportional to 701.99, 1,052.37 and 355.03

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Solution

The fourth proportional to 701.99, 1,052.37 and 355.03 is: 532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.99 : 1,052.37 = 355.03 : x
  2. Step 2: Convert to fraction form
    701.99/1,052.37 = 355.03/x
  3. Step 3: Cross multiply
    701.99x = 1,052.37 × 355.03
  4. Step 4: Simplify right side
    701.99x = 373,622.92
  5. Step 5: Solve for x
    x = 373,622.92/701.99
  6. Step 6: Final answer
    x = 532.23

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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.