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Finding the Fourth Proportional to 1,225.96, 1,690.41 and 930.71

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Solution

The fourth proportional to 1,225.96, 1,690.41 and 930.71 is: 1,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.96 : 1,690.41 = 930.71 : x
  2. Step 2: Convert to fraction form
    1,225.96/1,690.41 = 930.71/x
  3. Step 3: Cross multiply
    1,225.96x = 1,690.41 × 930.71
  4. Step 4: Simplify right side
    1,225.96x = 1,573,289.21
  5. Step 5: Solve for x
    x = 1,573,289.21/1,225.96
  6. Step 6: Final answer
    x = 1,283.31

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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.