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Finding the Fourth Proportional to 1,016.85, 1,402.74 and 643.20

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Solution

The fourth proportional to 1,016.85, 1,402.74 and 643.20 is: 887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.85 : 1,402.74 = 643.20 : x
  2. Step 2: Convert to fraction form
    1,016.85/1,402.74 = 643.20/x
  3. Step 3: Cross multiply
    1,016.85x = 1,402.74 × 643.20
  4. Step 4: Simplify right side
    1,016.85x = 902,246.68
  5. Step 5: Solve for x
    x = 902,246.68/1,016.85
  6. Step 6: Final answer
    x = 887.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.