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Finding the Fourth Proportional to 1,439.35, 2,158.48 and 465.19

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Solution

The fourth proportional to 1,439.35, 2,158.48 and 465.19 is: 697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.35 : 2,158.48 = 465.19 : x
  2. Step 2: Convert to fraction form
    1,439.35/2,158.48 = 465.19/x
  3. Step 3: Cross multiply
    1,439.35x = 2,158.48 × 465.19
  4. Step 4: Simplify right side
    1,439.35x = 1,004,098.50
  5. Step 5: Solve for x
    x = 1,004,098.50/1,439.35
  6. Step 6: Final answer
    x = 697.61

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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.