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Finding the Fourth Proportional to 1,105.70, 1,525.86 and 608.33

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Solution

The fourth proportional to 1,105.70, 1,525.86 and 608.33 is: 839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.70 : 1,525.86 = 608.33 : x
  2. Step 2: Convert to fraction form
    1,105.70/1,525.86 = 608.33/x
  3. Step 3: Cross multiply
    1,105.70x = 1,525.86 × 608.33
  4. Step 4: Simplify right side
    1,105.70x = 928,230.23
  5. Step 5: Solve for x
    x = 928,230.23/1,105.70
  6. Step 6: Final answer
    x = 839.50

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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.