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Finding the Fourth Proportional to 1,036.62, 1,553.07 and 1,014.75

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Solution

The fourth proportional to 1,036.62, 1,553.07 and 1,014.75 is: 1,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.62 : 1,553.07 = 1,014.75 : x
  2. Step 2: Convert to fraction form
    1,036.62/1,553.07 = 1,014.75/x
  3. Step 3: Cross multiply
    1,036.62x = 1,553.07 × 1,014.75
  4. Step 4: Simplify right side
    1,036.62x = 1,575,977.78
  5. Step 5: Solve for x
    x = 1,575,977.78/1,036.62
  6. Step 6: Final answer
    x = 1,520.30

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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.