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Finding the Fourth Proportional to 1,015.11, 1,400.13 and 641.75

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Solution

The fourth proportional to 1,015.11, 1,400.13 and 641.75 is: 885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.11 : 1,400.13 = 641.75 : x
  2. Step 2: Convert to fraction form
    1,015.11/1,400.13 = 641.75/x
  3. Step 3: Cross multiply
    1,015.11x = 1,400.13 × 641.75
  4. Step 4: Simplify right side
    1,015.11x = 898,526.43
  5. Step 5: Solve for x
    x = 898,526.43/1,015.11
  6. Step 6: Final answer
    x = 885.15

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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.