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Finding the Fourth Proportional to 1,133.86, 1,564.81 and 636.53

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Solution

The fourth proportional to 1,133.86, 1,564.81 and 636.53 is: 878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.86 : 1,564.81 = 636.53 : x
  2. Step 2: Convert to fraction form
    1,133.86/1,564.81 = 636.53/x
  3. Step 3: Cross multiply
    1,133.86x = 1,564.81 × 636.53
  4. Step 4: Simplify right side
    1,133.86x = 996,051.48
  5. Step 5: Solve for x
    x = 996,051.48/1,133.86
  6. Step 6: Final answer
    x = 878.46

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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.