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Finding the Fourth Proportional to 1,159.14, 1,738.89 and 665.58

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Solution

The fourth proportional to 1,159.14, 1,738.89 and 665.58 is: 998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.14 : 1,738.89 = 665.58 : x
  2. Step 2: Convert to fraction form
    1,159.14/1,738.89 = 665.58/x
  3. Step 3: Cross multiply
    1,159.14x = 1,738.89 × 665.58
  4. Step 4: Simplify right side
    1,159.14x = 1,157,370.41
  5. Step 5: Solve for x
    x = 1,157,370.41/1,159.14
  6. Step 6: Final answer
    x = 998.47

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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.