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Finding the Fourth Proportional to 986.14, 1,475.13 and 903.25

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Solution

The fourth proportional to 986.14, 1,475.13 and 903.25 is: 1,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.14 : 1,475.13 = 903.25 : x
  2. Step 2: Convert to fraction form
    986.14/1,475.13 = 903.25/x
  3. Step 3: Cross multiply
    986.14x = 1,475.13 × 903.25
  4. Step 4: Simplify right side
    986.14x = 1,332,411.17
  5. Step 5: Solve for x
    x = 1,332,411.17/986.14
  6. Step 6: Final answer
    x = 1,351.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.