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Finding the Fourth Proportional to 945.25, 1,416.71 and 737.66

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Solution

The fourth proportional to 945.25, 1,416.71 and 737.66 is: 1,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.25 : 1,416.71 = 737.66 : x
  2. Step 2: Convert to fraction form
    945.25/1,416.71 = 737.66/x
  3. Step 3: Cross multiply
    945.25x = 1,416.71 × 737.66
  4. Step 4: Simplify right side
    945.25x = 1,045,045.12
  5. Step 5: Solve for x
    x = 1,045,045.12/945.25
  6. Step 6: Final answer
    x = 1,105.57

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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.