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Finding the Fourth Proportional to 1,093.53, 1,506.70 and 1,052.53

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Solution

The fourth proportional to 1,093.53, 1,506.70 and 1,052.53 is: 1,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.53 : 1,506.70 = 1,052.53 : x
  2. Step 2: Convert to fraction form
    1,093.53/1,506.70 = 1,052.53/x
  3. Step 3: Cross multiply
    1,093.53x = 1,506.70 × 1,052.53
  4. Step 4: Simplify right side
    1,093.53x = 1,585,844.50
  5. Step 5: Solve for x
    x = 1,585,844.50/1,093.53
  6. Step 6: Final answer
    x = 1,450.20

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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.