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Finding the Fourth Proportional to 836.51, 1,154.99 and 774.30

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Solution

The fourth proportional to 836.51, 1,154.99 and 774.30 is: 1,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.51 : 1,154.99 = 774.30 : x
  2. Step 2: Convert to fraction form
    836.51/1,154.99 = 774.30/x
  3. Step 3: Cross multiply
    836.51x = 1,154.99 × 774.30
  4. Step 4: Simplify right side
    836.51x = 894,315.02
  5. Step 5: Solve for x
    x = 894,315.02/836.51
  6. Step 6: Final answer
    x = 1,069.11

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Why These Related Problems?

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