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Finding the Fourth Proportional to 1,105.68, 1,525.96 and 633.64

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Solution

The fourth proportional to 1,105.68, 1,525.96 and 633.64 is: 874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.68 : 1,525.96 = 633.64 : x
  2. Step 2: Convert to fraction form
    1,105.68/1,525.96 = 633.64/x
  3. Step 3: Cross multiply
    1,105.68x = 1,525.96 × 633.64
  4. Step 4: Simplify right side
    1,105.68x = 966,909.29
  5. Step 5: Solve for x
    x = 966,909.29/1,105.68
  6. Step 6: Final answer
    x = 874.49

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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.