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Finding the Fourth Proportional to 518.78, 783.04 and 518.78

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Solution

The fourth proportional to 518.78, 783.04 and 518.78 is: 783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.78 : 783.04 = 518.78 : x
  2. Step 2: Convert to fraction form
    518.78/783.04 = 518.78/x
  3. Step 3: Cross multiply
    518.78x = 783.04 × 518.78
  4. Step 4: Simplify right side
    518.78x = 406,225.49
  5. Step 5: Solve for x
    x = 406,225.49/518.78
  6. Step 6: Final answer
    x = 783.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.