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Finding the Fourth Proportional to 1,049.72, 1,448.62 and 577.62

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Solution

The fourth proportional to 1,049.72, 1,448.62 and 577.62 is: 797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.72 : 1,448.62 = 577.62 : x
  2. Step 2: Convert to fraction form
    1,049.72/1,448.62 = 577.62/x
  3. Step 3: Cross multiply
    1,049.72x = 1,448.62 × 577.62
  4. Step 4: Simplify right side
    1,049.72x = 836,749.00
  5. Step 5: Solve for x
    x = 836,749.00/1,049.72
  6. Step 6: Final answer
    x = 797.12

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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.