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Finding the Fourth Proportional to 701.14, 1,050.99 and 393.14

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Solution

The fourth proportional to 701.14, 1,050.99 and 393.14 is: 589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.14 : 1,050.99 = 393.14 : x
  2. Step 2: Convert to fraction form
    701.14/1,050.99 = 393.14/x
  3. Step 3: Cross multiply
    701.14x = 1,050.99 × 393.14
  4. Step 4: Simplify right side
    701.14x = 413,186.21
  5. Step 5: Solve for x
    x = 413,186.21/701.14
  6. Step 6: Final answer
    x = 589.31

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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.