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Finding the Fourth Proportional to 759.06, 1,047.22 and 464.22

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Solution

The fourth proportional to 759.06, 1,047.22 and 464.22 is: 640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.06 : 1,047.22 = 464.22 : x
  2. Step 2: Convert to fraction form
    759.06/1,047.22 = 464.22/x
  3. Step 3: Cross multiply
    759.06x = 1,047.22 × 464.22
  4. Step 4: Simplify right side
    759.06x = 486,140.47
  5. Step 5: Solve for x
    x = 486,140.47/759.06
  6. Step 6: Final answer
    x = 640.45

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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.