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Finding the Fourth Proportional to 1,104.71, 1,524.44 and 607.25

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Solution

The fourth proportional to 1,104.71, 1,524.44 and 607.25 is: 837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.71 : 1,524.44 = 607.25 : x
  2. Step 2: Convert to fraction form
    1,104.71/1,524.44 = 607.25/x
  3. Step 3: Cross multiply
    1,104.71x = 1,524.44 × 607.25
  4. Step 4: Simplify right side
    1,104.71x = 925,705.53
  5. Step 5: Solve for x
    x = 925,705.53/1,104.71
  6. Step 6: Final answer
    x = 837.97

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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.