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Finding the Fourth Proportional to 873.92, 1,309.16 and 507.94

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Solution

The fourth proportional to 873.92, 1,309.16 and 507.94 is: 760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.92 : 1,309.16 = 507.94 : x
  2. Step 2: Convert to fraction form
    873.92/1,309.16 = 507.94/x
  3. Step 3: Cross multiply
    873.92x = 1,309.16 × 507.94
  4. Step 4: Simplify right side
    873.92x = 664,974.73
  5. Step 5: Solve for x
    x = 664,974.73/873.92
  6. Step 6: Final answer
    x = 760.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.