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Finding the Fourth Proportional to 1,135.71, 1,567.23 and 638.41

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Solution

The fourth proportional to 1,135.71, 1,567.23 and 638.41 is: 880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.71 : 1,567.23 = 638.41 : x
  2. Step 2: Convert to fraction form
    1,135.71/1,567.23 = 638.41/x
  3. Step 3: Cross multiply
    1,135.71x = 1,567.23 × 638.41
  4. Step 4: Simplify right side
    1,135.71x = 1,000,531.39
  5. Step 5: Solve for x
    x = 1,000,531.39/1,135.71
  6. Step 6: Final answer
    x = 880.97

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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.