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Finding the Fourth Proportional to 1,159.11, 1,598.94 and 995.49

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Solution

The fourth proportional to 1,159.11, 1,598.94 and 995.49 is: 1,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.11 : 1,598.94 = 995.49 : x
  2. Step 2: Convert to fraction form
    1,159.11/1,598.94 = 995.49/x
  3. Step 3: Cross multiply
    1,159.11x = 1,598.94 × 995.49
  4. Step 4: Simplify right side
    1,159.11x = 1,591,728.78
  5. Step 5: Solve for x
    x = 1,591,728.78/1,159.11
  6. Step 6: Final answer
    x = 1,373.23

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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.