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Finding the Fourth Proportional to 1,025.70, 1,538.37 and 367.47

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Solution

The fourth proportional to 1,025.70, 1,538.37 and 367.47 is: 551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.70 : 1,538.37 = 367.47 : x
  2. Step 2: Convert to fraction form
    1,025.70/1,538.37 = 367.47/x
  3. Step 3: Cross multiply
    1,025.70x = 1,538.37 × 367.47
  4. Step 4: Simplify right side
    1,025.70x = 565,304.82
  5. Step 5: Solve for x
    x = 565,304.82/1,025.70
  6. Step 6: Final answer
    x = 551.14

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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.