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Finding the Fourth Proportional to 836.40, 1,154.74 and 557.04

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Solution

The fourth proportional to 836.40, 1,154.74 and 557.04 is: 769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.40 : 1,154.74 = 557.04 : x
  2. Step 2: Convert to fraction form
    836.40/1,154.74 = 557.04/x
  3. Step 3: Cross multiply
    836.40x = 1,154.74 × 557.04
  4. Step 4: Simplify right side
    836.40x = 643,236.37
  5. Step 5: Solve for x
    x = 643,236.37/836.40
  6. Step 6: Final answer
    x = 769.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.