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Finding the Fourth Proportional to 1,108.40, 1,529.44 and 611.06

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Solution

The fourth proportional to 1,108.40, 1,529.44 and 611.06 is: 843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.40 : 1,529.44 = 611.06 : x
  2. Step 2: Convert to fraction form
    1,108.40/1,529.44 = 611.06/x
  3. Step 3: Cross multiply
    1,108.40x = 1,529.44 × 611.06
  4. Step 4: Simplify right side
    1,108.40x = 934,570.43
  5. Step 5: Solve for x
    x = 934,570.43/1,108.40
  6. Step 6: Final answer
    x = 843.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.