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Finding the Fourth Proportional to 612.72, 913.37 and 577.44

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Solution

The fourth proportional to 612.72, 913.37 and 577.44 is: 860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.72 : 913.37 = 577.44 : x
  2. Step 2: Convert to fraction form
    612.72/913.37 = 577.44/x
  3. Step 3: Cross multiply
    612.72x = 913.37 × 577.44
  4. Step 4: Simplify right side
    612.72x = 527,413.49
  5. Step 5: Solve for x
    x = 527,413.49/612.72
  6. Step 6: Final answer
    x = 860.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.