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Finding the Fourth Proportional to 1,109.96, 1,531.68 and 637.94

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Solution

The fourth proportional to 1,109.96, 1,531.68 and 637.94 is: 880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.96 : 1,531.68 = 637.94 : x
  2. Step 2: Convert to fraction form
    1,109.96/1,531.68 = 637.94/x
  3. Step 3: Cross multiply
    1,109.96x = 1,531.68 × 637.94
  4. Step 4: Simplify right side
    1,109.96x = 977,119.94
  5. Step 5: Solve for x
    x = 977,119.94/1,109.96
  6. Step 6: Final answer
    x = 880.32

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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.