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Finding the Fourth Proportional to 1,105.80, 1,526.01 and 608.43

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Solution

The fourth proportional to 1,105.80, 1,526.01 and 608.43 is: 839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.80 : 1,526.01 = 608.43 : x
  2. Step 2: Convert to fraction form
    1,105.80/1,526.01 = 608.43/x
  3. Step 3: Cross multiply
    1,105.80x = 1,526.01 × 608.43
  4. Step 4: Simplify right side
    1,105.80x = 928,470.26
  5. Step 5: Solve for x
    x = 928,470.26/1,105.80
  6. Step 6: Final answer
    x = 839.64

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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.