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Finding the Fourth Proportional to 1,235.10, 1,705.05 and 968.94

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Solution

The fourth proportional to 1,235.10, 1,705.05 and 968.94 is: 1,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.10 : 1,705.05 = 968.94 : x
  2. Step 2: Convert to fraction form
    1,235.10/1,705.05 = 968.94/x
  3. Step 3: Cross multiply
    1,235.10x = 1,705.05 × 968.94
  4. Step 4: Simplify right side
    1,235.10x = 1,652,091.15
  5. Step 5: Solve for x
    x = 1,652,091.15/1,235.10
  6. Step 6: Final answer
    x = 1,337.62

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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.