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Finding the Fourth Proportional to 1,099.40, 1,649.24 and 405.93

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Solution

The fourth proportional to 1,099.40, 1,649.24 and 405.93 is: 608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.40 : 1,649.24 = 405.93 : x
  2. Step 2: Convert to fraction form
    1,099.40/1,649.24 = 405.93/x
  3. Step 3: Cross multiply
    1,099.40x = 1,649.24 × 405.93
  4. Step 4: Simplify right side
    1,099.40x = 669,473.96
  5. Step 5: Solve for x
    x = 669,473.96/1,099.40
  6. Step 6: Final answer
    x = 608.95

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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.