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Finding the Fourth Proportional to 908.98, 1,254.49 and 536.08

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Solution

The fourth proportional to 908.98, 1,254.49 and 536.08 is: 739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.98 : 1,254.49 = 536.08 : x
  2. Step 2: Convert to fraction form
    908.98/1,254.49 = 536.08/x
  3. Step 3: Cross multiply
    908.98x = 1,254.49 × 536.08
  4. Step 4: Simplify right side
    908.98x = 672,507.00
  5. Step 5: Solve for x
    x = 672,507.00/908.98
  6. Step 6: Final answer
    x = 739.85

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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.