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Finding the Fourth Proportional to 1,439.16, 2,158.79 and 465.36

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Solution

The fourth proportional to 1,439.16, 2,158.79 and 465.36 is: 698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.16 : 2,158.79 = 465.36 : x
  2. Step 2: Convert to fraction form
    1,439.16/2,158.79 = 465.36/x
  3. Step 3: Cross multiply
    1,439.16x = 2,158.79 × 465.36
  4. Step 4: Simplify right side
    1,439.16x = 1,004,612.19
  5. Step 5: Solve for x
    x = 1,004,612.19/1,439.16
  6. Step 6: Final answer
    x = 698.05

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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.