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Finding the Fourth Proportional to 1,186.01, 1,636.68 and 654.95

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Solution

The fourth proportional to 1,186.01, 1,636.68 and 654.95 is: 903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.01 : 1,636.68 = 654.95 : x
  2. Step 2: Convert to fraction form
    1,186.01/1,636.68 = 654.95/x
  3. Step 3: Cross multiply
    1,186.01x = 1,636.68 × 654.95
  4. Step 4: Simplify right side
    1,186.01x = 1,071,932.11
  5. Step 5: Solve for x
    x = 1,071,932.11/1,186.01
  6. Step 6: Final answer
    x = 903.81

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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.