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Finding the Fourth Proportional to 833.14, 1,147.71 and 583.98

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Solution

The fourth proportional to 833.14, 1,147.71 and 583.98 is: 804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.14 : 1,147.71 = 583.98 : x
  2. Step 2: Convert to fraction form
    833.14/1,147.71 = 583.98/x
  3. Step 3: Cross multiply
    833.14x = 1,147.71 × 583.98
  4. Step 4: Simplify right side
    833.14x = 670,239.69
  5. Step 5: Solve for x
    x = 670,239.69/833.14
  6. Step 6: Final answer
    x = 804.47

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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.