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Finding the Fourth Proportional to 902.56, 1,352.58 and 707.80

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Solution

The fourth proportional to 902.56, 1,352.58 and 707.80 is: 1,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.56 : 1,352.58 = 707.80 : x
  2. Step 2: Convert to fraction form
    902.56/1,352.58 = 707.80/x
  3. Step 3: Cross multiply
    902.56x = 1,352.58 × 707.80
  4. Step 4: Simplify right side
    902.56x = 957,356.12
  5. Step 5: Solve for x
    x = 957,356.12/902.56
  6. Step 6: Final answer
    x = 1,060.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.