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Finding the Fourth Proportional to 727.76, 1,003.83 and 466.10

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Solution

The fourth proportional to 727.76, 1,003.83 and 466.10 is: 642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.76 : 1,003.83 = 466.10 : x
  2. Step 2: Convert to fraction form
    727.76/1,003.83 = 466.10/x
  3. Step 3: Cross multiply
    727.76x = 1,003.83 × 466.10
  4. Step 4: Simplify right side
    727.76x = 467,885.16
  5. Step 5: Solve for x
    x = 467,885.16/727.76
  6. Step 6: Final answer
    x = 642.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.