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Finding the Fourth Proportional to 1,506.71, 2,259.22 and 466.42

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Solution

The fourth proportional to 1,506.71, 2,259.22 and 466.42 is: 699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.71 : 2,259.22 = 466.42 : x
  2. Step 2: Convert to fraction form
    1,506.71/2,259.22 = 466.42/x
  3. Step 3: Cross multiply
    1,506.71x = 2,259.22 × 466.42
  4. Step 4: Simplify right side
    1,506.71x = 1,053,745.39
  5. Step 5: Solve for x
    x = 1,053,745.39/1,506.71
  6. Step 6: Final answer
    x = 699.37

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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.