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Finding the Fourth Proportional to 1,069.26, 1,474.83 and 675.66

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Solution

The fourth proportional to 1,069.26, 1,474.83 and 675.66 is: 931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.26 : 1,474.83 = 675.66 : x
  2. Step 2: Convert to fraction form
    1,069.26/1,474.83 = 675.66/x
  3. Step 3: Cross multiply
    1,069.26x = 1,474.83 × 675.66
  4. Step 4: Simplify right side
    1,069.26x = 996,483.64
  5. Step 5: Solve for x
    x = 996,483.64/1,069.26
  6. Step 6: Final answer
    x = 931.94

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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.