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Finding the Fourth Proportional to 1,537.46, 2,305.62 and 550.01

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Solution

The fourth proportional to 1,537.46, 2,305.62 and 550.01 is: 824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.46 : 2,305.62 = 550.01 : x
  2. Step 2: Convert to fraction form
    1,537.46/2,305.62 = 550.01/x
  3. Step 3: Cross multiply
    1,537.46x = 2,305.62 × 550.01
  4. Step 4: Simplify right side
    1,537.46x = 1,268,104.59
  5. Step 5: Solve for x
    x = 1,268,104.59/1,537.46
  6. Step 6: Final answer
    x = 824.81

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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.