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Finding the Fourth Proportional to 872.40, 1,310.76 and 507.36

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Solution

The fourth proportional to 872.40, 1,310.76 and 507.36 is: 762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.40 : 1,310.76 = 507.36 : x
  2. Step 2: Convert to fraction form
    872.40/1,310.76 = 507.36/x
  3. Step 3: Cross multiply
    872.40x = 1,310.76 × 507.36
  4. Step 4: Simplify right side
    872.40x = 665,027.19
  5. Step 5: Solve for x
    x = 665,027.19/872.40
  6. Step 6: Final answer
    x = 762.30

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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.