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Finding the Fourth Proportional to 824.67, 1,137.78 and 509.94

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Solution

The fourth proportional to 824.67, 1,137.78 and 509.94 is: 703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.67 : 1,137.78 = 509.94 : x
  2. Step 2: Convert to fraction form
    824.67/1,137.78 = 509.94/x
  3. Step 3: Cross multiply
    824.67x = 1,137.78 × 509.94
  4. Step 4: Simplify right side
    824.67x = 580,199.53
  5. Step 5: Solve for x
    x = 580,199.53/824.67
  6. Step 6: Final answer
    x = 703.55

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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.