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Finding the Fourth Proportional to 836.99, 1,256.93 and 514.25

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Solution

The fourth proportional to 836.99, 1,256.93 and 514.25 is: 772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.99 : 1,256.93 = 514.25 : x
  2. Step 2: Convert to fraction form
    836.99/1,256.93 = 514.25/x
  3. Step 3: Cross multiply
    836.99x = 1,256.93 × 514.25
  4. Step 4: Simplify right side
    836.99x = 646,376.25
  5. Step 5: Solve for x
    x = 646,376.25/836.99
  6. Step 6: Final answer
    x = 772.26

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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.