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Finding the Fourth Proportional to 727.22, 1,085.14 and 639.74

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Solution

The fourth proportional to 727.22, 1,085.14 and 639.74 is: 954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.22 : 1,085.14 = 639.74 : x
  2. Step 2: Convert to fraction form
    727.22/1,085.14 = 639.74/x
  3. Step 3: Cross multiply
    727.22x = 1,085.14 × 639.74
  4. Step 4: Simplify right side
    727.22x = 694,207.46
  5. Step 5: Solve for x
    x = 694,207.46/727.22
  6. Step 6: Final answer
    x = 954.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.