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Finding the Fourth Proportional to 1,039.82, 1,564.97 and 781.18

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Solution

The fourth proportional to 1,039.82, 1,564.97 and 781.18 is: 1,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.82 : 1,564.97 = 781.18 : x
  2. Step 2: Convert to fraction form
    1,039.82/1,564.97 = 781.18/x
  3. Step 3: Cross multiply
    1,039.82x = 1,564.97 × 781.18
  4. Step 4: Simplify right side
    1,039.82x = 1,222,515.45
  5. Step 5: Solve for x
    x = 1,222,515.45/1,039.82
  6. Step 6: Final answer
    x = 1,175.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.