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Finding the Fourth Proportional to 1,419.71, 2,129.99 and 639.95

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Solution

The fourth proportional to 1,419.71, 2,129.99 and 639.95 is: 960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.71 : 2,129.99 = 639.95 : x
  2. Step 2: Convert to fraction form
    1,419.71/2,129.99 = 639.95/x
  3. Step 3: Cross multiply
    1,419.71x = 2,129.99 × 639.95
  4. Step 4: Simplify right side
    1,419.71x = 1,363,087.03
  5. Step 5: Solve for x
    x = 1,363,087.03/1,419.71
  6. Step 6: Final answer
    x = 960.12

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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.