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Finding the Fourth Proportional to 788.02, 1,086.88 and 578.13

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Solution

The fourth proportional to 788.02, 1,086.88 and 578.13 is: 797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.02 : 1,086.88 = 578.13 : x
  2. Step 2: Convert to fraction form
    788.02/1,086.88 = 578.13/x
  3. Step 3: Cross multiply
    788.02x = 1,086.88 × 578.13
  4. Step 4: Simplify right side
    788.02x = 628,357.93
  5. Step 5: Solve for x
    x = 628,357.93/788.02
  6. Step 6: Final answer
    x = 797.39

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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.