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Finding the Fourth Proportional to 1,099.09, 1,648.45 and 474.21

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Solution

The fourth proportional to 1,099.09, 1,648.45 and 474.21 is: 711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.09 : 1,648.45 = 474.21 : x
  2. Step 2: Convert to fraction form
    1,099.09/1,648.45 = 474.21/x
  3. Step 3: Cross multiply
    1,099.09x = 1,648.45 × 474.21
  4. Step 4: Simplify right side
    1,099.09x = 781,710.29
  5. Step 5: Solve for x
    x = 781,710.29/1,099.09
  6. Step 6: Final answer
    x = 711.24

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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.