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Finding the Fourth Proportional to 684.08, 1,026.17 and 245.42

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Solution

The fourth proportional to 684.08, 1,026.17 and 245.42 is: 368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.08 : 1,026.17 = 245.42 : x
  2. Step 2: Convert to fraction form
    684.08/1,026.17 = 245.42/x
  3. Step 3: Cross multiply
    684.08x = 1,026.17 × 245.42
  4. Step 4: Simplify right side
    684.08x = 251,842.64
  5. Step 5: Solve for x
    x = 251,842.64/684.08
  6. Step 6: Final answer
    x = 368.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.