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Finding the Fourth Proportional to 1,439.65, 2,159.84 and 465.85

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Solution

The fourth proportional to 1,439.65, 2,159.84 and 465.85 is: 698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.65 : 2,159.84 = 465.85 : x
  2. Step 2: Convert to fraction form
    1,439.65/2,159.84 = 465.85/x
  3. Step 3: Cross multiply
    1,439.65x = 2,159.84 × 465.85
  4. Step 4: Simplify right side
    1,439.65x = 1,006,161.46
  5. Step 5: Solve for x
    x = 1,006,161.46/1,439.65
  6. Step 6: Final answer
    x = 698.89

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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.