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Finding the Fourth Proportional to 824.46, 1,138.04 and 509.96

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Solution

The fourth proportional to 824.46, 1,138.04 and 509.96 is: 703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.46 : 1,138.04 = 509.96 : x
  2. Step 2: Convert to fraction form
    824.46/1,138.04 = 509.96/x
  3. Step 3: Cross multiply
    824.46x = 1,138.04 × 509.96
  4. Step 4: Simplify right side
    824.46x = 580,357.09
  5. Step 5: Solve for x
    x = 580,357.09/824.46
  6. Step 6: Final answer
    x = 703.93

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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.