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Finding the Fourth Proportional to 1,186.36, 1,634.71 and 1,008.70

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Solution

The fourth proportional to 1,186.36, 1,634.71 and 1,008.70 is: 1,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.36 : 1,634.71 = 1,008.70 : x
  2. Step 2: Convert to fraction form
    1,186.36/1,634.71 = 1,008.70/x
  3. Step 3: Cross multiply
    1,186.36x = 1,634.71 × 1,008.70
  4. Step 4: Simplify right side
    1,186.36x = 1,648,931.98
  5. Step 5: Solve for x
    x = 1,648,931.98/1,186.36
  6. Step 6: Final answer
    x = 1,389.91

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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.