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Finding the Fourth Proportional to 837.87, 1,253.70 and 507.57

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Solution

The fourth proportional to 837.87, 1,253.70 and 507.57 is: 759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.87 : 1,253.70 = 507.57 : x
  2. Step 2: Convert to fraction form
    837.87/1,253.70 = 507.57/x
  3. Step 3: Cross multiply
    837.87x = 1,253.70 × 507.57
  4. Step 4: Simplify right side
    837.87x = 636,340.51
  5. Step 5: Solve for x
    x = 636,340.51/837.87
  6. Step 6: Final answer
    x = 759.47

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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.