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Finding the Fourth Proportional to 1,433.56, 2,150.76 and 567.88

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Solution

The fourth proportional to 1,433.56, 2,150.76 and 567.88 is: 851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.56 : 2,150.76 = 567.88 : x
  2. Step 2: Convert to fraction form
    1,433.56/2,150.76 = 567.88/x
  3. Step 3: Cross multiply
    1,433.56x = 2,150.76 × 567.88
  4. Step 4: Simplify right side
    1,433.56x = 1,221,373.59
  5. Step 5: Solve for x
    x = 1,221,373.59/1,433.56
  6. Step 6: Final answer
    x = 851.99

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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.