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Finding the Fourth Proportional to 1,109.82, 1,531.65 and 637.80

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Solution

The fourth proportional to 1,109.82, 1,531.65 and 637.80 is: 880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.82 : 1,531.65 = 637.80 : x
  2. Step 2: Convert to fraction form
    1,109.82/1,531.65 = 637.80/x
  3. Step 3: Cross multiply
    1,109.82x = 1,531.65 × 637.80
  4. Step 4: Simplify right side
    1,109.82x = 976,878.23
  5. Step 5: Solve for x
    x = 976,878.23/1,109.82
  6. Step 6: Final answer
    x = 880.21

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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.