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Finding the Fourth Proportional to 1,105.85, 1,526.10 and 608.54

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Solution

The fourth proportional to 1,105.85, 1,526.10 and 608.54 is: 839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.85 : 1,526.10 = 608.54 : x
  2. Step 2: Convert to fraction form
    1,105.85/1,526.10 = 608.54/x
  3. Step 3: Cross multiply
    1,105.85x = 1,526.10 × 608.54
  4. Step 4: Simplify right side
    1,105.85x = 928,685.26
  5. Step 5: Solve for x
    x = 928,685.26/1,105.85
  6. Step 6: Final answer
    x = 839.80

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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.