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Finding the Fourth Proportional to 1,309.70, 1,961.32 and 760.22

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Solution

The fourth proportional to 1,309.70, 1,961.32 and 760.22 is: 1,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.70 : 1,961.32 = 760.22 : x
  2. Step 2: Convert to fraction form
    1,309.70/1,961.32 = 760.22/x
  3. Step 3: Cross multiply
    1,309.70x = 1,961.32 × 760.22
  4. Step 4: Simplify right side
    1,309.70x = 1,491,032.59
  5. Step 5: Solve for x
    x = 1,491,032.59/1,309.70
  6. Step 6: Final answer
    x = 1,138.45

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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.