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Finding the Fourth Proportional to 1,506.41, 2,259.82 and 466.50

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Solution

The fourth proportional to 1,506.41, 2,259.82 and 466.50 is: 699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.41 : 2,259.82 = 466.50 : x
  2. Step 2: Convert to fraction form
    1,506.41/2,259.82 = 466.50/x
  3. Step 3: Cross multiply
    1,506.41x = 2,259.82 × 466.50
  4. Step 4: Simplify right side
    1,506.41x = 1,054,194.73
  5. Step 5: Solve for x
    x = 1,054,194.73/1,506.41
  6. Step 6: Final answer
    x = 699.81

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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.