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Finding the Fourth Proportional to 727.77, 1,004.50 and 462.13

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Solution

The fourth proportional to 727.77, 1,004.50 and 462.13 is: 637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.77 : 1,004.50 = 462.13 : x
  2. Step 2: Convert to fraction form
    727.77/1,004.50 = 462.13/x
  3. Step 3: Cross multiply
    727.77x = 1,004.50 × 462.13
  4. Step 4: Simplify right side
    727.77x = 464,209.59
  5. Step 5: Solve for x
    x = 464,209.59/727.77
  6. Step 6: Final answer
    x = 637.85

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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.