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Finding the Fourth Proportional to 908.64, 1,254.44 and 598.68

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Solution

The fourth proportional to 908.64, 1,254.44 and 598.68 is: 826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.64 : 1,254.44 = 598.68 : x
  2. Step 2: Convert to fraction form
    908.64/1,254.44 = 598.68/x
  3. Step 3: Cross multiply
    908.64x = 1,254.44 × 598.68
  4. Step 4: Simplify right side
    908.64x = 751,008.14
  5. Step 5: Solve for x
    x = 751,008.14/908.64
  6. Step 6: Final answer
    x = 826.52

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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.