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Finding the Fourth Proportional to 824.86, 1,237.66 and 277.18

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Solution

The fourth proportional to 824.86, 1,237.66 and 277.18 is: 415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.86 : 1,237.66 = 277.18 : x
  2. Step 2: Convert to fraction form
    824.86/1,237.66 = 277.18/x
  3. Step 3: Cross multiply
    824.86x = 1,237.66 × 277.18
  4. Step 4: Simplify right side
    824.86x = 343,054.60
  5. Step 5: Solve for x
    x = 343,054.60/824.86
  6. Step 6: Final answer
    x = 415.89

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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.