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Finding the Fourth Proportional to 1,136.26, 1,567.94 and 638.74

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Solution

The fourth proportional to 1,136.26, 1,567.94 and 638.74 is: 881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.26 : 1,567.94 = 638.74 : x
  2. Step 2: Convert to fraction form
    1,136.26/1,567.94 = 638.74/x
  3. Step 3: Cross multiply
    1,136.26x = 1,567.94 × 638.74
  4. Step 4: Simplify right side
    1,136.26x = 1,001,506.00
  5. Step 5: Solve for x
    x = 1,001,506.00/1,136.26
  6. Step 6: Final answer
    x = 881.41

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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.