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Finding the Fourth Proportional to 1,105.48, 1,525.58 and 608.13

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Solution

The fourth proportional to 1,105.48, 1,525.58 and 608.13 is: 839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.48 : 1,525.58 = 608.13 : x
  2. Step 2: Convert to fraction form
    1,105.48/1,525.58 = 608.13/x
  3. Step 3: Cross multiply
    1,105.48x = 1,525.58 × 608.13
  4. Step 4: Simplify right side
    1,105.48x = 927,750.97
  5. Step 5: Solve for x
    x = 927,750.97/1,105.48
  6. Step 6: Final answer
    x = 839.23

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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.