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Finding the Fourth Proportional to 727.48, 1,000.86 and 601.72

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Solution

The fourth proportional to 727.48, 1,000.86 and 601.72 is: 827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.48 : 1,000.86 = 601.72 : x
  2. Step 2: Convert to fraction form
    727.48/1,000.86 = 601.72/x
  3. Step 3: Cross multiply
    727.48x = 1,000.86 × 601.72
  4. Step 4: Simplify right side
    727.48x = 602,237.48
  5. Step 5: Solve for x
    x = 602,237.48/727.48
  6. Step 6: Final answer
    x = 827.84

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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.