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Finding the Fourth Proportional to 1,069.98, 1,476.52 and 627.86

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Solution

The fourth proportional to 1,069.98, 1,476.52 and 627.86 is: 866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.98 : 1,476.52 = 627.86 : x
  2. Step 2: Convert to fraction form
    1,069.98/1,476.52 = 627.86/x
  3. Step 3: Cross multiply
    1,069.98x = 1,476.52 × 627.86
  4. Step 4: Simplify right side
    1,069.98x = 927,047.85
  5. Step 5: Solve for x
    x = 927,047.85/1,069.98
  6. Step 6: Final answer
    x = 866.42

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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.