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Finding the Fourth Proportional to 1,330.85, 1,836.43 and 741.44

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Solution

The fourth proportional to 1,330.85, 1,836.43 and 741.44 is: 1,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.85 : 1,836.43 = 741.44 : x
  2. Step 2: Convert to fraction form
    1,330.85/1,836.43 = 741.44/x
  3. Step 3: Cross multiply
    1,330.85x = 1,836.43 × 741.44
  4. Step 4: Simplify right side
    1,330.85x = 1,361,593.48
  5. Step 5: Solve for x
    x = 1,361,593.48/1,330.85
  6. Step 6: Final answer
    x = 1,023.10

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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.