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Finding the Fourth Proportional to 873.92, 1,206.09 and 500.92

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Solution

The fourth proportional to 873.92, 1,206.09 and 500.92 is: 691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.92 : 1,206.09 = 500.92 : x
  2. Step 2: Convert to fraction form
    873.92/1,206.09 = 500.92/x
  3. Step 3: Cross multiply
    873.92x = 1,206.09 × 500.92
  4. Step 4: Simplify right side
    873.92x = 604,151.59
  5. Step 5: Solve for x
    x = 604,151.59/873.92
  6. Step 6: Final answer
    x = 691.31

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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.