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Finding the Fourth Proportional to 1,507.68, 2,261.28 and 641.76

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Solution

The fourth proportional to 1,507.68, 2,261.28 and 641.76 is: 962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.68 : 2,261.28 = 641.76 : x
  2. Step 2: Convert to fraction form
    1,507.68/2,261.28 = 641.76/x
  3. Step 3: Cross multiply
    1,507.68x = 2,261.28 × 641.76
  4. Step 4: Simplify right side
    1,507.68x = 1,451,199.05
  5. Step 5: Solve for x
    x = 1,451,199.05/1,507.68
  6. Step 6: Final answer
    x = 962.54

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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.