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Finding the Fourth Proportional to 1,064.91, 1,468.09 and 749.22

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Solution

The fourth proportional to 1,064.91, 1,468.09 and 749.22 is: 1,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.91 : 1,468.09 = 749.22 : x
  2. Step 2: Convert to fraction form
    1,064.91/1,468.09 = 749.22/x
  3. Step 3: Cross multiply
    1,064.91x = 1,468.09 × 749.22
  4. Step 4: Simplify right side
    1,064.91x = 1,099,922.39
  5. Step 5: Solve for x
    x = 1,099,922.39/1,064.91
  6. Step 6: Final answer
    x = 1,032.88

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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.