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Finding the Fourth Proportional to 1,109.63, 1,531.37 and 637.68

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Solution

The fourth proportional to 1,109.63, 1,531.37 and 637.68 is: 880.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.63 : 1,531.37 = 637.68 : x
  2. Step 2: Convert to fraction form
    1,109.63/1,531.37 = 637.68/x
  3. Step 3: Cross multiply
    1,109.63x = 1,531.37 × 637.68
  4. Step 4: Simplify right side
    1,109.63x = 976,528.13
  5. Step 5: Solve for x
    x = 976,528.13/1,109.63
  6. Step 6: Final answer
    x = 880.04

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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.