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Finding the Fourth Proportional to 771.22, 1,155.97 and 588.01

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Solution

The fourth proportional to 771.22, 1,155.97 and 588.01 is: 881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.22 : 1,155.97 = 588.01 : x
  2. Step 2: Convert to fraction form
    771.22/1,155.97 = 588.01/x
  3. Step 3: Cross multiply
    771.22x = 1,155.97 × 588.01
  4. Step 4: Simplify right side
    771.22x = 679,721.92
  5. Step 5: Solve for x
    x = 679,721.92/771.22
  6. Step 6: Final answer
    x = 881.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.