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Finding the Fourth Proportional to 914.30, 1,371.08 and 567.12

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Solution

The fourth proportional to 914.30, 1,371.08 and 567.12 is: 850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.30 : 1,371.08 = 567.12 : x
  2. Step 2: Convert to fraction form
    914.30/1,371.08 = 567.12/x
  3. Step 3: Cross multiply
    914.30x = 1,371.08 × 567.12
  4. Step 4: Simplify right side
    914.30x = 777,562.55
  5. Step 5: Solve for x
    x = 777,562.55/914.30
  6. Step 6: Final answer
    x = 850.44

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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.