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Finding the Fourth Proportional to 767.22, 1,056.36 and 654.99

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Solution

The fourth proportional to 767.22, 1,056.36 and 654.99 is: 901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.22 : 1,056.36 = 654.99 : x
  2. Step 2: Convert to fraction form
    767.22/1,056.36 = 654.99/x
  3. Step 3: Cross multiply
    767.22x = 1,056.36 × 654.99
  4. Step 4: Simplify right side
    767.22x = 691,905.24
  5. Step 5: Solve for x
    x = 691,905.24/767.22
  6. Step 6: Final answer
    x = 901.83

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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.