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Finding the Fourth Proportional to 1,508.29, 2,260.92 and 533.76

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Solution

The fourth proportional to 1,508.29, 2,260.92 and 533.76 is: 800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.29 : 2,260.92 = 533.76 : x
  2. Step 2: Convert to fraction form
    1,508.29/2,260.92 = 533.76/x
  3. Step 3: Cross multiply
    1,508.29x = 2,260.92 × 533.76
  4. Step 4: Simplify right side
    1,508.29x = 1,206,788.66
  5. Step 5: Solve for x
    x = 1,206,788.66/1,508.29
  6. Step 6: Final answer
    x = 800.10

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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.