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Finding the Fourth Proportional to 1,344.18, 2,014.83 and 465.84

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Solution

The fourth proportional to 1,344.18, 2,014.83 and 465.84 is: 698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.18 : 2,014.83 = 465.84 : x
  2. Step 2: Convert to fraction form
    1,344.18/2,014.83 = 465.84/x
  3. Step 3: Cross multiply
    1,344.18x = 2,014.83 × 465.84
  4. Step 4: Simplify right side
    1,344.18x = 938,588.41
  5. Step 5: Solve for x
    x = 938,588.41/1,344.18
  6. Step 6: Final answer
    x = 698.26

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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.