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Finding the Fourth Proportional to 1,508.87, 2,263.16 and 521.59

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Solution

The fourth proportional to 1,508.87, 2,263.16 and 521.59 is: 782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.87 : 2,263.16 = 521.59 : x
  2. Step 2: Convert to fraction form
    1,508.87/2,263.16 = 521.59/x
  3. Step 3: Cross multiply
    1,508.87x = 2,263.16 × 521.59
  4. Step 4: Simplify right side
    1,508.87x = 1,180,445.76
  5. Step 5: Solve for x
    x = 1,180,445.76/1,508.87
  6. Step 6: Final answer
    x = 782.34

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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.