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Finding the Fourth Proportional to 1,016.75, 1,403.17 and 643.60

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Solution

The fourth proportional to 1,016.75, 1,403.17 and 643.60 is: 888.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.75 : 1,403.17 = 643.60 : x
  2. Step 2: Convert to fraction form
    1,016.75/1,403.17 = 643.60/x
  3. Step 3: Cross multiply
    1,016.75x = 1,403.17 × 643.60
  4. Step 4: Simplify right side
    1,016.75x = 903,076.08
  5. Step 5: Solve for x
    x = 903,076.08/1,016.75
  6. Step 6: Final answer
    x = 888.20

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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.