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Finding the Fourth Proportional to 833.81, 1,148.72 and 584.66

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Solution

The fourth proportional to 833.81, 1,148.72 and 584.66 is: 805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.81 : 1,148.72 = 584.66 : x
  2. Step 2: Convert to fraction form
    833.81/1,148.72 = 584.66/x
  3. Step 3: Cross multiply
    833.81x = 1,148.72 × 584.66
  4. Step 4: Simplify right side
    833.81x = 671,610.58
  5. Step 5: Solve for x
    x = 671,610.58/833.81
  6. Step 6: Final answer
    x = 805.48

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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.