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Finding the Fourth Proportional to 1,002.11, 1,502.96 and 533.52

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Solution

The fourth proportional to 1,002.11, 1,502.96 and 533.52 is: 800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.11 : 1,502.96 = 533.52 : x
  2. Step 2: Convert to fraction form
    1,002.11/1,502.96 = 533.52/x
  3. Step 3: Cross multiply
    1,002.11x = 1,502.96 × 533.52
  4. Step 4: Simplify right side
    1,002.11x = 801,856.55
  5. Step 5: Solve for x
    x = 801,856.55/1,002.11
  6. Step 6: Final answer
    x = 800.17

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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.