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Finding the Fourth Proportional to 1,037.39, 1,553.90 and 626.30

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Solution

The fourth proportional to 1,037.39, 1,553.90 and 626.30 is: 938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.39 : 1,553.90 = 626.30 : x
  2. Step 2: Convert to fraction form
    1,037.39/1,553.90 = 626.30/x
  3. Step 3: Cross multiply
    1,037.39x = 1,553.90 × 626.30
  4. Step 4: Simplify right side
    1,037.39x = 973,207.57
  5. Step 5: Solve for x
    x = 973,207.57/1,037.39
  6. Step 6: Final answer
    x = 938.14

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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.