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Finding the Fourth Proportional to 739.40, 1,109.10 and 661.10

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Solution

The fourth proportional to 739.40, 1,109.10 and 661.10 is: 991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.40 : 1,109.10 = 661.10 : x
  2. Step 2: Convert to fraction form
    739.40/1,109.10 = 661.10/x
  3. Step 3: Cross multiply
    739.40x = 1,109.10 × 661.10
  4. Step 4: Simplify right side
    739.40x = 733,226.01
  5. Step 5: Solve for x
    x = 733,226.01/739.40
  6. Step 6: Final answer
    x = 991.65

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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.