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Finding the Fourth Proportional to 1,186.14, 1,636.82 and 655.04

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Solution

The fourth proportional to 1,186.14, 1,636.82 and 655.04 is: 903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.14 : 1,636.82 = 655.04 : x
  2. Step 2: Convert to fraction form
    1,186.14/1,636.82 = 655.04/x
  3. Step 3: Cross multiply
    1,186.14x = 1,636.82 × 655.04
  4. Step 4: Simplify right side
    1,186.14x = 1,072,182.57
  5. Step 5: Solve for x
    x = 1,072,182.57/1,186.14
  6. Step 6: Final answer
    x = 903.93

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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.