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Finding the Fourth Proportional to 1,473.73, 2,211.06 and 549.37

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Solution

The fourth proportional to 1,473.73, 2,211.06 and 549.37 is: 824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.73 : 2,211.06 = 549.37 : x
  2. Step 2: Convert to fraction form
    1,473.73/2,211.06 = 549.37/x
  3. Step 3: Cross multiply
    1,473.73x = 2,211.06 × 549.37
  4. Step 4: Simplify right side
    1,473.73x = 1,214,678.98
  5. Step 5: Solve for x
    x = 1,214,678.98/1,473.73
  6. Step 6: Final answer
    x = 824.22

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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.