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Finding the Fourth Proportional to 922.70, 1,273.31 and 508.70

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Solution

The fourth proportional to 922.70, 1,273.31 and 508.70 is: 701.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.70 : 1,273.31 = 508.70 : x
  2. Step 2: Convert to fraction form
    922.70/1,273.31 = 508.70/x
  3. Step 3: Cross multiply
    922.70x = 1,273.31 × 508.70
  4. Step 4: Simplify right side
    922.70x = 647,723.89
  5. Step 5: Solve for x
    x = 647,723.89/922.70
  6. Step 6: Final answer
    x = 701.99

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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.