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Finding the Fourth Proportional to 1,450.40, 2,174.96 and 424.16

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Solution

The fourth proportional to 1,450.40, 2,174.96 and 424.16 is: 636.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.40 : 2,174.96 = 424.16 : x
  2. Step 2: Convert to fraction form
    1,450.40/2,174.96 = 424.16/x
  3. Step 3: Cross multiply
    1,450.40x = 2,174.96 × 424.16
  4. Step 4: Simplify right side
    1,450.40x = 922,531.03
  5. Step 5: Solve for x
    x = 922,531.03/1,450.40
  6. Step 6: Final answer
    x = 636.05

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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.