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Finding the Fourth Proportional to 1,133.93, 1,564.83 and 849.84

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Solution

The fourth proportional to 1,133.93, 1,564.83 and 849.84 is: 1,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.93 : 1,564.83 = 849.84 : x
  2. Step 2: Convert to fraction form
    1,133.93/1,564.83 = 849.84/x
  3. Step 3: Cross multiply
    1,133.93x = 1,564.83 × 849.84
  4. Step 4: Simplify right side
    1,133.93x = 1,329,855.13
  5. Step 5: Solve for x
    x = 1,329,855.13/1,133.93
  6. Step 6: Final answer
    x = 1,172.78

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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.