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Finding the Fourth Proportional to 1,502.06, 2,253.06 and 406.53

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Solution

The fourth proportional to 1,502.06, 2,253.06 and 406.53 is: 609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.06 : 2,253.06 = 406.53 : x
  2. Step 2: Convert to fraction form
    1,502.06/2,253.06 = 406.53/x
  3. Step 3: Cross multiply
    1,502.06x = 2,253.06 × 406.53
  4. Step 4: Simplify right side
    1,502.06x = 915,936.48
  5. Step 5: Solve for x
    x = 915,936.48/1,502.06
  6. Step 6: Final answer
    x = 609.79

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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.