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Finding the Fourth Proportional to 782.33, 1,076.37 and 594.72

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Solution

The fourth proportional to 782.33, 1,076.37 and 594.72 is: 818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.33 : 1,076.37 = 594.72 : x
  2. Step 2: Convert to fraction form
    782.33/1,076.37 = 594.72/x
  3. Step 3: Cross multiply
    782.33x = 1,076.37 × 594.72
  4. Step 4: Simplify right side
    782.33x = 640,138.77
  5. Step 5: Solve for x
    x = 640,138.77/782.33
  6. Step 6: Final answer
    x = 818.25

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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.