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Finding the Fourth Proportional to 1,507.55, 2,261.39 and 533.79

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Solution

The fourth proportional to 1,507.55, 2,261.39 and 533.79 is: 800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.55 : 2,261.39 = 533.79 : x
  2. Step 2: Convert to fraction form
    1,507.55/2,261.39 = 533.79/x
  3. Step 3: Cross multiply
    1,507.55x = 2,261.39 × 533.79
  4. Step 4: Simplify right side
    1,507.55x = 1,207,104.70
  5. Step 5: Solve for x
    x = 1,207,104.70/1,507.55
  6. Step 6: Final answer
    x = 800.71

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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.