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Finding the Fourth Proportional to 1,703.60, 2,554.20 and 663.20

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Solution

The fourth proportional to 1,703.60, 2,554.20 and 663.20 is: 994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.60 : 2,554.20 = 663.20 : x
  2. Step 2: Convert to fraction form
    1,703.60/2,554.20 = 663.20/x
  3. Step 3: Cross multiply
    1,703.60x = 2,554.20 × 663.20
  4. Step 4: Simplify right side
    1,703.60x = 1,693,945.44
  5. Step 5: Solve for x
    x = 1,693,945.44/1,703.60
  6. Step 6: Final answer
    x = 994.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.