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Finding the Fourth Proportional to 762.10, 1,143.15 and 694.90

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Solution

The fourth proportional to 762.10, 1,143.15 and 694.90 is: 1,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.10 : 1,143.15 = 694.90 : x
  2. Step 2: Convert to fraction form
    762.10/1,143.15 = 694.90/x
  3. Step 3: Cross multiply
    762.10x = 1,143.15 × 694.90
  4. Step 4: Simplify right side
    762.10x = 794,374.94
  5. Step 5: Solve for x
    x = 794,374.94/762.10
  6. Step 6: Final answer
    x = 1,042.35

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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.