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Finding the Fourth Proportional to 872.13, 1,309.59 and 507.18

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Solution

The fourth proportional to 872.13, 1,309.59 and 507.18 is: 761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.13 : 1,309.59 = 507.18 : x
  2. Step 2: Convert to fraction form
    872.13/1,309.59 = 507.18/x
  3. Step 3: Cross multiply
    872.13x = 1,309.59 × 507.18
  4. Step 4: Simplify right side
    872.13x = 664,197.86
  5. Step 5: Solve for x
    x = 664,197.86/872.13
  6. Step 6: Final answer
    x = 761.58

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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.