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Finding the Fourth Proportional to 874.14, 1,309.79 and 509.24

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Solution

The fourth proportional to 874.14, 1,309.79 and 509.24 is: 763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.14 : 1,309.79 = 509.24 : x
  2. Step 2: Convert to fraction form
    874.14/1,309.79 = 509.24/x
  3. Step 3: Cross multiply
    874.14x = 1,309.79 × 509.24
  4. Step 4: Simplify right side
    874.14x = 666,988.36
  5. Step 5: Solve for x
    x = 666,988.36/874.14
  6. Step 6: Final answer
    x = 763.02

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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.