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Finding the Fourth Proportional to 1,105.63, 1,525.64 and 608.22

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Solution

The fourth proportional to 1,105.63, 1,525.64 and 608.22 is: 839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.63 : 1,525.64 = 608.22 : x
  2. Step 2: Convert to fraction form
    1,105.63/1,525.64 = 608.22/x
  3. Step 3: Cross multiply
    1,105.63x = 1,525.64 × 608.22
  4. Step 4: Simplify right side
    1,105.63x = 927,930.10
  5. Step 5: Solve for x
    x = 927,930.10/1,105.63
  6. Step 6: Final answer
    x = 839.28

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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.