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Finding the Fourth Proportional to 1,363.35, 1,881.58 and 922.31

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Solution

The fourth proportional to 1,363.35, 1,881.58 and 922.31 is: 1,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.35 : 1,881.58 = 922.31 : x
  2. Step 2: Convert to fraction form
    1,363.35/1,881.58 = 922.31/x
  3. Step 3: Cross multiply
    1,363.35x = 1,881.58 × 922.31
  4. Step 4: Simplify right side
    1,363.35x = 1,735,390.64
  5. Step 5: Solve for x
    x = 1,735,390.64/1,363.35
  6. Step 6: Final answer
    x = 1,272.89

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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.