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Finding the Fourth Proportional to 739.93, 1,109.85 and 192.14

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Solution

The fourth proportional to 739.93, 1,109.85 and 192.14 is: 288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.93 : 1,109.85 = 192.14 : x
  2. Step 2: Convert to fraction form
    739.93/1,109.85 = 192.14/x
  3. Step 3: Cross multiply
    739.93x = 1,109.85 × 192.14
  4. Step 4: Simplify right side
    739.93x = 213,246.58
  5. Step 5: Solve for x
    x = 213,246.58/739.93
  6. Step 6: Final answer
    x = 288.20

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1.5x scale

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.