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Finding the Fourth Proportional to 1,502.41, 2,253.62 and 528.52

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Solution

The fourth proportional to 1,502.41, 2,253.62 and 528.52 is: 792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.41 : 2,253.62 = 528.52 : x
  2. Step 2: Convert to fraction form
    1,502.41/2,253.62 = 528.52/x
  3. Step 3: Cross multiply
    1,502.41x = 2,253.62 × 528.52
  4. Step 4: Simplify right side
    1,502.41x = 1,191,083.24
  5. Step 5: Solve for x
    x = 1,191,083.24/1,502.41
  6. Step 6: Final answer
    x = 792.78

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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.