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Finding the Fourth Proportional to 1,239.38, 1,709.38 and 741.92

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Solution

The fourth proportional to 1,239.38, 1,709.38 and 741.92 is: 1,023.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.38 : 1,709.38 = 741.92 : x
  2. Step 2: Convert to fraction form
    1,239.38/1,709.38 = 741.92/x
  3. Step 3: Cross multiply
    1,239.38x = 1,709.38 × 741.92
  4. Step 4: Simplify right side
    1,239.38x = 1,268,219.50
  5. Step 5: Solve for x
    x = 1,268,219.50/1,239.38
  6. Step 6: Final answer
    x = 1,023.27

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1.5x scale

Why These Related Problems?

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