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Finding the Fourth Proportional to 824.56, 1,137.91 and 509.76

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Solution

The fourth proportional to 824.56, 1,137.91 and 509.76 is: 703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.56 : 1,137.91 = 509.76 : x
  2. Step 2: Convert to fraction form
    824.56/1,137.91 = 509.76/x
  3. Step 3: Cross multiply
    824.56x = 1,137.91 × 509.76
  4. Step 4: Simplify right side
    824.56x = 580,060.68
  5. Step 5: Solve for x
    x = 580,060.68/824.56
  6. Step 6: Final answer
    x = 703.48

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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.