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Finding the Fourth Proportional to 833.63, 1,149.53 and 584.55

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Solution

The fourth proportional to 833.63, 1,149.53 and 584.55 is: 806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.63 : 1,149.53 = 584.55 : x
  2. Step 2: Convert to fraction form
    833.63/1,149.53 = 584.55/x
  3. Step 3: Cross multiply
    833.63x = 1,149.53 × 584.55
  4. Step 4: Simplify right side
    833.63x = 671,954.84
  5. Step 5: Solve for x
    x = 671,954.84/833.63
  6. Step 6: Final answer
    x = 806.06

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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.