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Finding the Fourth Proportional to 945.76, 1,305.08 and 709.24

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Solution

The fourth proportional to 945.76, 1,305.08 and 709.24 is: 978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.76 : 1,305.08 = 709.24 : x
  2. Step 2: Convert to fraction form
    945.76/1,305.08 = 709.24/x
  3. Step 3: Cross multiply
    945.76x = 1,305.08 × 709.24
  4. Step 4: Simplify right side
    945.76x = 925,614.94
  5. Step 5: Solve for x
    x = 925,614.94/945.76
  6. Step 6: Final answer
    x = 978.70

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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.