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Finding the Fourth Proportional to 710.78, 1,069.94 and 506.76

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Solution

The fourth proportional to 710.78, 1,069.94 and 506.76 is: 762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.78 : 1,069.94 = 506.76 : x
  2. Step 2: Convert to fraction form
    710.78/1,069.94 = 506.76/x
  3. Step 3: Cross multiply
    710.78x = 1,069.94 × 506.76
  4. Step 4: Simplify right side
    710.78x = 542,202.79
  5. Step 5: Solve for x
    x = 542,202.79/710.78
  6. Step 6: Final answer
    x = 762.83

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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.