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Finding the Fourth Proportional to 647.61, 893.07 and 523.19

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Solution

The fourth proportional to 647.61, 893.07 and 523.19 is: 721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.61 : 893.07 = 523.19 : x
  2. Step 2: Convert to fraction form
    647.61/893.07 = 523.19/x
  3. Step 3: Cross multiply
    647.61x = 893.07 × 523.19
  4. Step 4: Simplify right side
    647.61x = 467,240.83
  5. Step 5: Solve for x
    x = 467,240.83/647.61
  6. Step 6: Final answer
    x = 721.48

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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.