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Finding the Fourth Proportional to 908.78, 1,254.16 and 536.00

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Solution

The fourth proportional to 908.78, 1,254.16 and 536.00 is: 739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.78 : 1,254.16 = 536.00 : x
  2. Step 2: Convert to fraction form
    908.78/1,254.16 = 536.00/x
  3. Step 3: Cross multiply
    908.78x = 1,254.16 × 536.00
  4. Step 4: Simplify right side
    908.78x = 672,238.39
  5. Step 5: Solve for x
    x = 672,238.39/908.78
  6. Step 6: Final answer
    x = 739.71

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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.