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Finding the Fourth Proportional to 787.16, 1,084.92 and 590.33

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Solution

The fourth proportional to 787.16, 1,084.92 and 590.33 is: 813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.16 : 1,084.92 = 590.33 : x
  2. Step 2: Convert to fraction form
    787.16/1,084.92 = 590.33/x
  3. Step 3: Cross multiply
    787.16x = 1,084.92 × 590.33
  4. Step 4: Simplify right side
    787.16x = 640,460.82
  5. Step 5: Solve for x
    x = 640,460.82/787.16
  6. Step 6: Final answer
    x = 813.63

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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.