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Finding the Fourth Proportional to 1,016.15, 1,401.75 and 642.48

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Solution

The fourth proportional to 1,016.15, 1,401.75 and 642.48 is: 886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.15 : 1,401.75 = 642.48 : x
  2. Step 2: Convert to fraction form
    1,016.15/1,401.75 = 642.48/x
  3. Step 3: Cross multiply
    1,016.15x = 1,401.75 × 642.48
  4. Step 4: Simplify right side
    1,016.15x = 900,591.08
  5. Step 5: Solve for x
    x = 900,591.08/1,016.15
  6. Step 6: Final answer
    x = 886.28

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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.