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Finding the Fourth Proportional to 1,202.58, 1,654.36 and 981.05

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Solution

The fourth proportional to 1,202.58, 1,654.36 and 981.05 is: 1,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.58 : 1,654.36 = 981.05 : x
  2. Step 2: Convert to fraction form
    1,202.58/1,654.36 = 981.05/x
  3. Step 3: Cross multiply
    1,202.58x = 1,654.36 × 981.05
  4. Step 4: Simplify right side
    1,202.58x = 1,622,999.15
  5. Step 5: Solve for x
    x = 1,622,999.15/1,202.58
  6. Step 6: Final answer
    x = 1,349.60

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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.