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Finding the Fourth Proportional to 824.29, 1,137.74 and 509.83

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Solution

The fourth proportional to 824.29, 1,137.74 and 509.83 is: 703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.29 : 1,137.74 = 509.83 : x
  2. Step 2: Convert to fraction form
    824.29/1,137.74 = 509.83/x
  3. Step 3: Cross multiply
    824.29x = 1,137.74 × 509.83
  4. Step 4: Simplify right side
    824.29x = 580,053.98
  5. Step 5: Solve for x
    x = 580,053.98/824.29
  6. Step 6: Final answer
    x = 703.70

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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.