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Finding the Fourth Proportional to 922.58, 1,273.25 and 689.30

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Solution

The fourth proportional to 922.58, 1,273.25 and 689.30 is: 951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.58 : 1,273.25 = 689.30 : x
  2. Step 2: Convert to fraction form
    922.58/1,273.25 = 689.30/x
  3. Step 3: Cross multiply
    922.58x = 1,273.25 × 689.30
  4. Step 4: Simplify right side
    922.58x = 877,651.23
  5. Step 5: Solve for x
    x = 877,651.23/922.58
  6. Step 6: Final answer
    x = 951.30

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