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Finding the Fourth Proportional to 1,089.21, 1,503.45 and 696.17

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Solution

The fourth proportional to 1,089.21, 1,503.45 and 696.17 is: 960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.21 : 1,503.45 = 696.17 : x
  2. Step 2: Convert to fraction form
    1,089.21/1,503.45 = 696.17/x
  3. Step 3: Cross multiply
    1,089.21x = 1,503.45 × 696.17
  4. Step 4: Simplify right side
    1,089.21x = 1,046,649.27
  5. Step 5: Solve for x
    x = 1,046,649.27/1,089.21
  6. Step 6: Final answer
    x = 960.93

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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.