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Finding the Fourth Proportional to 1,076.12, 1,614.38 and 555.98

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Solution

The fourth proportional to 1,076.12, 1,614.38 and 555.98 is: 834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.12 : 1,614.38 = 555.98 : x
  2. Step 2: Convert to fraction form
    1,076.12/1,614.38 = 555.98/x
  3. Step 3: Cross multiply
    1,076.12x = 1,614.38 × 555.98
  4. Step 4: Simplify right side
    1,076.12x = 897,562.99
  5. Step 5: Solve for x
    x = 897,562.99/1,076.12
  6. Step 6: Final answer
    x = 834.07

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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.