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Finding the Fourth Proportional to 1,016.06, 1,402.65 and 643.22

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Solution

The fourth proportional to 1,016.06, 1,402.65 and 643.22 is: 887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.06 : 1,402.65 = 643.22 : x
  2. Step 2: Convert to fraction form
    1,016.06/1,402.65 = 643.22/x
  3. Step 3: Cross multiply
    1,016.06x = 1,402.65 × 643.22
  4. Step 4: Simplify right side
    1,016.06x = 902,212.53
  5. Step 5: Solve for x
    x = 902,212.53/1,016.06
  6. Step 6: Final answer
    x = 887.95

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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.