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Finding the Fourth Proportional to 836.64, 1,254.42 and 374.31

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Solution

The fourth proportional to 836.64, 1,254.42 and 374.31 is: 561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.64 : 1,254.42 = 374.31 : x
  2. Step 2: Convert to fraction form
    836.64/1,254.42 = 374.31/x
  3. Step 3: Cross multiply
    836.64x = 1,254.42 × 374.31
  4. Step 4: Simplify right side
    836.64x = 469,541.95
  5. Step 5: Solve for x
    x = 469,541.95/836.64
  6. Step 6: Final answer
    x = 561.22

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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.