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Finding the Fourth Proportional to 1,099.72, 1,648.86 and 523.24

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Solution

The fourth proportional to 1,099.72, 1,648.86 and 523.24 is: 784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.72 : 1,648.86 = 523.24 : x
  2. Step 2: Convert to fraction form
    1,099.72/1,648.86 = 523.24/x
  3. Step 3: Cross multiply
    1,099.72x = 1,648.86 × 523.24
  4. Step 4: Simplify right side
    1,099.72x = 862,749.51
  5. Step 5: Solve for x
    x = 862,749.51/1,099.72
  6. Step 6: Final answer
    x = 784.52

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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.