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Finding the Fourth Proportional to 824.85, 1,237.47 and 305.13

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Solution

The fourth proportional to 824.85, 1,237.47 and 305.13 is: 457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.85 : 1,237.47 = 305.13 : x
  2. Step 2: Convert to fraction form
    824.85/1,237.47 = 305.13/x
  3. Step 3: Cross multiply
    824.85x = 1,237.47 × 305.13
  4. Step 4: Simplify right side
    824.85x = 377,589.22
  5. Step 5: Solve for x
    x = 377,589.22/824.85
  6. Step 6: Final answer
    x = 457.77

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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.