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Finding the Fourth Proportional to 1,025.32, 1,537.44 and 366.94

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Solution

The fourth proportional to 1,025.32, 1,537.44 and 366.94 is: 550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.32 : 1,537.44 = 366.94 : x
  2. Step 2: Convert to fraction form
    1,025.32/1,537.44 = 366.94/x
  3. Step 3: Cross multiply
    1,025.32x = 1,537.44 × 366.94
  4. Step 4: Simplify right side
    1,025.32x = 564,148.23
  5. Step 5: Solve for x
    x = 564,148.23/1,025.32
  6. Step 6: Final answer
    x = 550.22

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Why These Related Problems?

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