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Finding the Fourth Proportional to 774.30, 1,155.20 and 731.10

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Solution

The fourth proportional to 774.30, 1,155.20 and 731.10 is: 1,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.30 : 1,155.20 = 731.10 : x
  2. Step 2: Convert to fraction form
    774.30/1,155.20 = 731.10/x
  3. Step 3: Cross multiply
    774.30x = 1,155.20 × 731.10
  4. Step 4: Simplify right side
    774.30x = 844,563.06
  5. Step 5: Solve for x
    x = 844,563.06/774.30
  6. Step 6: Final answer
    x = 1,090.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.