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Finding the Fourth Proportional to 1,159.88, 1,599.43 and 806.20

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Solution

The fourth proportional to 1,159.88, 1,599.43 and 806.20 is: 1,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.88 : 1,599.43 = 806.20 : x
  2. Step 2: Convert to fraction form
    1,159.88/1,599.43 = 806.20/x
  3. Step 3: Cross multiply
    1,159.88x = 1,599.43 × 806.20
  4. Step 4: Simplify right side
    1,159.88x = 1,289,460.47
  5. Step 5: Solve for x
    x = 1,289,460.47/1,159.88
  6. Step 6: Final answer
    x = 1,111.72

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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.