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Finding the Fourth Proportional to 1,438.69, 1,987.29 and 1,159.99

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Solution

The fourth proportional to 1,438.69, 1,987.29 and 1,159.99 is: 1,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.69 : 1,987.29 = 1,159.99 : x
  2. Step 2: Convert to fraction form
    1,438.69/1,987.29 = 1,159.99/x
  3. Step 3: Cross multiply
    1,438.69x = 1,987.29 × 1,159.99
  4. Step 4: Simplify right side
    1,438.69x = 2,305,236.53
  5. Step 5: Solve for x
    x = 2,305,236.53/1,438.69
  6. Step 6: Final answer
    x = 1,602.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.