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Finding the Fourth Proportional to 1,089.49, 1,502.94 and 696.10

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Solution

The fourth proportional to 1,089.49, 1,502.94 and 696.10 is: 960.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.49 : 1,502.94 = 696.10 : x
  2. Step 2: Convert to fraction form
    1,089.49/1,502.94 = 696.10/x
  3. Step 3: Cross multiply
    1,089.49x = 1,502.94 × 696.10
  4. Step 4: Simplify right side
    1,089.49x = 1,046,196.53
  5. Step 5: Solve for x
    x = 1,046,196.53/1,089.49
  6. Step 6: Final answer
    x = 960.26

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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.