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Finding the Fourth Proportional to 1,133.98, 1,564.74 and 636.52

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Solution

The fourth proportional to 1,133.98, 1,564.74 and 636.52 is: 878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.98 : 1,564.74 = 636.52 : x
  2. Step 2: Convert to fraction form
    1,133.98/1,564.74 = 636.52/x
  3. Step 3: Cross multiply
    1,133.98x = 1,564.74 × 636.52
  4. Step 4: Simplify right side
    1,133.98x = 995,988.30
  5. Step 5: Solve for x
    x = 995,988.30/1,133.98
  6. Step 6: Final answer
    x = 878.31

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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.