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Finding the Fourth Proportional to 1,125.45, 1,686.56 and 836.55

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Solution

The fourth proportional to 1,125.45, 1,686.56 and 836.55 is: 1,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.45 : 1,686.56 = 836.55 : x
  2. Step 2: Convert to fraction form
    1,125.45/1,686.56 = 836.55/x
  3. Step 3: Cross multiply
    1,125.45x = 1,686.56 × 836.55
  4. Step 4: Simplify right side
    1,125.45x = 1,410,887.59
  5. Step 5: Solve for x
    x = 1,410,887.59/1,125.45
  6. Step 6: Final answer
    x = 1,253.62

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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.