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Finding the Fourth Proportional to 727.35, 1,083.18 and 695.76

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Solution

The fourth proportional to 727.35, 1,083.18 and 695.76 is: 1,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.35 : 1,083.18 = 695.76 : x
  2. Step 2: Convert to fraction form
    727.35/1,083.18 = 695.76/x
  3. Step 3: Cross multiply
    727.35x = 1,083.18 × 695.76
  4. Step 4: Simplify right side
    727.35x = 753,633.32
  5. Step 5: Solve for x
    x = 753,633.32/727.35
  6. Step 6: Final answer
    x = 1,036.14

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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.