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Finding the Fourth Proportional to 1,548.03, 2,322.74 and 726.20

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Solution

The fourth proportional to 1,548.03, 2,322.74 and 726.20 is: 1,089.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.03 : 2,322.74 = 726.20 : x
  2. Step 2: Convert to fraction form
    1,548.03/2,322.74 = 726.20/x
  3. Step 3: Cross multiply
    1,548.03x = 2,322.74 × 726.20
  4. Step 4: Simplify right side
    1,548.03x = 1,686,758.54
  5. Step 5: Solve for x
    x = 1,686,758.54/1,548.03
  6. Step 6: Final answer
    x = 1,089.62

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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.