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Finding the Fourth Proportional to 1,439.77, 2,159.67 and 659.74

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Solution

The fourth proportional to 1,439.77, 2,159.67 and 659.74 is: 989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.77 : 2,159.67 = 659.74 : x
  2. Step 2: Convert to fraction form
    1,439.77/2,159.67 = 659.74/x
  3. Step 3: Cross multiply
    1,439.77x = 2,159.67 × 659.74
  4. Step 4: Simplify right side
    1,439.77x = 1,424,820.69
  5. Step 5: Solve for x
    x = 1,424,820.69/1,439.77
  6. Step 6: Final answer
    x = 989.62

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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.