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Finding the Fourth Proportional to 836.60, 1,254.59 and 374.29

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Solution

The fourth proportional to 836.60, 1,254.59 and 374.29 is: 561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.60 : 1,254.59 = 374.29 : x
  2. Step 2: Convert to fraction form
    836.60/1,254.59 = 374.29/x
  3. Step 3: Cross multiply
    836.60x = 1,254.59 × 374.29
  4. Step 4: Simplify right side
    836.60x = 469,572.35
  5. Step 5: Solve for x
    x = 469,572.35/836.60
  6. Step 6: Final answer
    x = 561.29

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Why These Related Problems?

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