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Finding the Fourth Proportional to 1,506.31, 2,259.94 and 466.52

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Solution

The fourth proportional to 1,506.31, 2,259.94 and 466.52 is: 699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.31 : 2,259.94 = 466.52 : x
  2. Step 2: Convert to fraction form
    1,506.31/2,259.94 = 466.52/x
  3. Step 3: Cross multiply
    1,506.31x = 2,259.94 × 466.52
  4. Step 4: Simplify right side
    1,506.31x = 1,054,297.37
  5. Step 5: Solve for x
    x = 1,054,297.37/1,506.31
  6. Step 6: Final answer
    x = 699.92

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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.