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Finding the Fourth Proportional to 1,016.22, 1,402.34 and 666.88

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Solution

The fourth proportional to 1,016.22, 1,402.34 and 666.88 is: 920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.22 : 1,402.34 = 666.88 : x
  2. Step 2: Convert to fraction form
    1,016.22/1,402.34 = 666.88/x
  3. Step 3: Cross multiply
    1,016.22x = 1,402.34 × 666.88
  4. Step 4: Simplify right side
    1,016.22x = 935,192.50
  5. Step 5: Solve for x
    x = 935,192.50/1,016.22
  6. Step 6: Final answer
    x = 920.27

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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.