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Finding the Fourth Proportional to 874.23, 1,206.14 and 500.96

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Solution

The fourth proportional to 874.23, 1,206.14 and 500.96 is: 691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.23 : 1,206.14 = 500.96 : x
  2. Step 2: Convert to fraction form
    874.23/1,206.14 = 500.96/x
  3. Step 3: Cross multiply
    874.23x = 1,206.14 × 500.96
  4. Step 4: Simplify right side
    874.23x = 604,219.36
  5. Step 5: Solve for x
    x = 604,219.36/874.23
  6. Step 6: Final answer
    x = 691.14

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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.