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Finding the Fourth Proportional to 1,400.21, 2,099.09 and 535.13

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Solution

The fourth proportional to 1,400.21, 2,099.09 and 535.13 is: 802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.21 : 2,099.09 = 535.13 : x
  2. Step 2: Convert to fraction form
    1,400.21/2,099.09 = 535.13/x
  3. Step 3: Cross multiply
    1,400.21x = 2,099.09 × 535.13
  4. Step 4: Simplify right side
    1,400.21x = 1,123,272.86
  5. Step 5: Solve for x
    x = 1,123,272.86/1,400.21
  6. Step 6: Final answer
    x = 802.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.