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Finding the Fourth Proportional to 846.26, 1,269.75 and 557.78

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Solution

The fourth proportional to 846.26, 1,269.75 and 557.78 is: 836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.26 : 1,269.75 = 557.78 : x
  2. Step 2: Convert to fraction form
    846.26/1,269.75 = 557.78/x
  3. Step 3: Cross multiply
    846.26x = 1,269.75 × 557.78
  4. Step 4: Simplify right side
    846.26x = 708,241.16
  5. Step 5: Solve for x
    x = 708,241.16/846.26
  6. Step 6: Final answer
    x = 836.91

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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.