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Finding the Fourth Proportional to 610.84, 842.55 and 540.64

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Solution

The fourth proportional to 610.84, 842.55 and 540.64 is: 745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.84 : 842.55 = 540.64 : x
  2. Step 2: Convert to fraction form
    610.84/842.55 = 540.64/x
  3. Step 3: Cross multiply
    610.84x = 842.55 × 540.64
  4. Step 4: Simplify right side
    610.84x = 455,516.23
  5. Step 5: Solve for x
    x = 455,516.23/610.84
  6. Step 6: Final answer
    x = 745.72

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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.