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Finding the Fourth Proportional to 1,224.30, 1,836.45 and 738.30

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Solution

The fourth proportional to 1,224.30, 1,836.45 and 738.30 is: 1,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.30 : 1,836.45 = 738.30 : x
  2. Step 2: Convert to fraction form
    1,224.30/1,836.45 = 738.30/x
  3. Step 3: Cross multiply
    1,224.30x = 1,836.45 × 738.30
  4. Step 4: Simplify right side
    1,224.30x = 1,355,851.04
  5. Step 5: Solve for x
    x = 1,355,851.04/1,224.30
  6. Step 6: Final answer
    x = 1,107.45

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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.