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Finding the Fourth Proportional to 1,049.45, 1,448.22 and 577.35

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Solution

The fourth proportional to 1,049.45, 1,448.22 and 577.35 is: 796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.45 : 1,448.22 = 577.35 : x
  2. Step 2: Convert to fraction form
    1,049.45/1,448.22 = 577.35/x
  3. Step 3: Cross multiply
    1,049.45x = 1,448.22 × 577.35
  4. Step 4: Simplify right side
    1,049.45x = 836,129.82
  5. Step 5: Solve for x
    x = 836,129.82/1,049.45
  6. Step 6: Final answer
    x = 796.73

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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.