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Finding the Fourth Proportional to 1,148.52, 1,584.28 and 833.41

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Solution

The fourth proportional to 1,148.52, 1,584.28 and 833.41 is: 1,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.52 : 1,584.28 = 833.41 : x
  2. Step 2: Convert to fraction form
    1,148.52/1,584.28 = 833.41/x
  3. Step 3: Cross multiply
    1,148.52x = 1,584.28 × 833.41
  4. Step 4: Simplify right side
    1,148.52x = 1,320,364.62
  5. Step 5: Solve for x
    x = 1,320,364.62/1,148.52
  6. Step 6: Final answer
    x = 1,149.63

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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.