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Finding the Fourth Proportional to 1,186.84, 1,636.66 and 767.41

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Solution

The fourth proportional to 1,186.84, 1,636.66 and 767.41 is: 1,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.84 : 1,636.66 = 767.41 : x
  2. Step 2: Convert to fraction form
    1,186.84/1,636.66 = 767.41/x
  3. Step 3: Cross multiply
    1,186.84x = 1,636.66 × 767.41
  4. Step 4: Simplify right side
    1,186.84x = 1,255,981.80
  5. Step 5: Solve for x
    x = 1,255,981.80/1,186.84
  6. Step 6: Final answer
    x = 1,058.26

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