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Finding the Fourth Proportional to 1,502.46, 2,253.73 and 406.84

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Solution

The fourth proportional to 1,502.46, 2,253.73 and 406.84 is: 610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.46 : 2,253.73 = 406.84 : x
  2. Step 2: Convert to fraction form
    1,502.46/2,253.73 = 406.84/x
  3. Step 3: Cross multiply
    1,502.46x = 2,253.73 × 406.84
  4. Step 4: Simplify right side
    1,502.46x = 916,907.51
  5. Step 5: Solve for x
    x = 916,907.51/1,502.46
  6. Step 6: Final answer
    x = 610.27

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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.