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Finding the Fourth Proportional to 1,088.27, 1,502.81 and 695.98

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Solution

The fourth proportional to 1,088.27, 1,502.81 and 695.98 is: 961.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.27 : 1,502.81 = 695.98 : x
  2. Step 2: Convert to fraction form
    1,088.27/1,502.81 = 695.98/x
  3. Step 3: Cross multiply
    1,088.27x = 1,502.81 × 695.98
  4. Step 4: Simplify right side
    1,088.27x = 1,045,926.71
  5. Step 5: Solve for x
    x = 1,045,926.71/1,088.27
  6. Step 6: Final answer
    x = 961.09

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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.