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Finding the Fourth Proportional to 1,108.13, 1,658.69 and 619.70

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Solution

The fourth proportional to 1,108.13, 1,658.69 and 619.70 is: 927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.13 : 1,658.69 = 619.70 : x
  2. Step 2: Convert to fraction form
    1,108.13/1,658.69 = 619.70/x
  3. Step 3: Cross multiply
    1,108.13x = 1,658.69 × 619.70
  4. Step 4: Simplify right side
    1,108.13x = 1,027,887.09
  5. Step 5: Solve for x
    x = 1,027,887.09/1,108.13
  6. Step 6: Final answer
    x = 927.59

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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.