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Finding the Fourth Proportional to 727.17, 1,091.86 and 454.98

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Solution

The fourth proportional to 727.17, 1,091.86 and 454.98 is: 683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.17 : 1,091.86 = 454.98 : x
  2. Step 2: Convert to fraction form
    727.17/1,091.86 = 454.98/x
  3. Step 3: Cross multiply
    727.17x = 1,091.86 × 454.98
  4. Step 4: Simplify right side
    727.17x = 496,774.46
  5. Step 5: Solve for x
    x = 496,774.46/727.17
  6. Step 6: Final answer
    x = 683.16

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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.