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Finding the Fourth Proportional to 873.92, 1,206.10 and 500.94

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Solution

The fourth proportional to 873.92, 1,206.10 and 500.94 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.92 : 1,206.10 = 500.94 : x
  2. Step 2: Convert to fraction form
    873.92/1,206.10 = 500.94/x
  3. Step 3: Cross multiply
    873.92x = 1,206.10 × 500.94
  4. Step 4: Simplify right side
    873.92x = 604,183.73
  5. Step 5: Solve for x
    x = 604,183.73/873.92
  6. Step 6: Final answer
    x = 691.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.