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Finding the Fourth Proportional to 773.03, 1,065.20 and 654.63

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Solution

The fourth proportional to 773.03, 1,065.20 and 654.63 is: 902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.03 : 1,065.20 = 654.63 : x
  2. Step 2: Convert to fraction form
    773.03/1,065.20 = 654.63/x
  3. Step 3: Cross multiply
    773.03x = 1,065.20 × 654.63
  4. Step 4: Simplify right side
    773.03x = 697,308.60
  5. Step 5: Solve for x
    x = 697,308.60/773.03
  6. Step 6: Final answer
    x = 902.05

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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.