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Finding the Fourth Proportional to 788, 1,086.48 and 578

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Solution

The fourth proportional to 788, 1,086.48 and 578 is: 796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    788 : 1,086.48 = 578 : x
  2. Step 2: Convert to fraction form
    788/1,086.48 = 578/x
  3. Step 3: Cross multiply
    788x = 1,086.48 × 578
  4. Step 4: Simplify right side
    788x = 627,985.44
  5. Step 5: Solve for x
    x = 627,985.44/788
  6. Step 6: Final answer
    x = 796.94

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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.