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Finding the Fourth Proportional to 945.80, 1,305.24 and 788.16

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Solution

The fourth proportional to 945.80, 1,305.24 and 788.16 is: 1,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.80 : 1,305.24 = 788.16 : x
  2. Step 2: Convert to fraction form
    945.80/1,305.24 = 788.16/x
  3. Step 3: Cross multiply
    945.80x = 1,305.24 × 788.16
  4. Step 4: Simplify right side
    945.80x = 1,028,744.88
  5. Step 5: Solve for x
    x = 1,028,744.88/945.80
  6. Step 6: Final answer
    x = 1,087.70

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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.