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Finding the Fourth Proportional to 657.81, 906.90 and 539.34

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Solution

The fourth proportional to 657.81, 906.90 and 539.34 is: 743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.81 : 906.90 = 539.34 : x
  2. Step 2: Convert to fraction form
    657.81/906.90 = 539.34/x
  3. Step 3: Cross multiply
    657.81x = 906.90 × 539.34
  4. Step 4: Simplify right side
    657.81x = 489,127.45
  5. Step 5: Solve for x
    x = 489,127.45/657.81
  6. Step 6: Final answer
    x = 743.57

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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.