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Finding the Fourth Proportional to 945.67, 1,416.93 and 739.39

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Solution

The fourth proportional to 945.67, 1,416.93 and 739.39 is: 1,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.67 : 1,416.93 = 739.39 : x
  2. Step 2: Convert to fraction form
    945.67/1,416.93 = 739.39/x
  3. Step 3: Cross multiply
    945.67x = 1,416.93 × 739.39
  4. Step 4: Simplify right side
    945.67x = 1,047,663.87
  5. Step 5: Solve for x
    x = 1,047,663.87/945.67
  6. Step 6: Final answer
    x = 1,107.85

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Why These Related Problems?

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