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Finding the Fourth Proportional to 657.08, 906.86 and 546.37

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Solution

The fourth proportional to 657.08, 906.86 and 546.37 is: 754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.08 : 906.86 = 546.37 : x
  2. Step 2: Convert to fraction form
    657.08/906.86 = 546.37/x
  3. Step 3: Cross multiply
    657.08x = 906.86 × 546.37
  4. Step 4: Simplify right side
    657.08x = 495,473.83
  5. Step 5: Solve for x
    x = 495,473.83/657.08
  6. Step 6: Final answer
    x = 754.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.