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Finding the Fourth Proportional to 1,133.42, 1,564.10 and 636.18

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Solution

The fourth proportional to 1,133.42, 1,564.10 and 636.18 is: 877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.42 : 1,564.10 = 636.18 : x
  2. Step 2: Convert to fraction form
    1,133.42/1,564.10 = 636.18/x
  3. Step 3: Cross multiply
    1,133.42x = 1,564.10 × 636.18
  4. Step 4: Simplify right side
    1,133.42x = 995,049.14
  5. Step 5: Solve for x
    x = 995,049.14/1,133.42
  6. Step 6: Final answer
    x = 877.92

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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.