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Finding the Fourth Proportional to 902.55, 1,352.06 and 593.46

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Solution

The fourth proportional to 902.55, 1,352.06 and 593.46 is: 889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.55 : 1,352.06 = 593.46 : x
  2. Step 2: Convert to fraction form
    902.55/1,352.06 = 593.46/x
  3. Step 3: Cross multiply
    902.55x = 1,352.06 × 593.46
  4. Step 4: Simplify right side
    902.55x = 802,393.53
  5. Step 5: Solve for x
    x = 802,393.53/902.55
  6. Step 6: Final answer
    x = 889.03

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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.