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Finding the Fourth Proportional to 945, 1,416.78 and 506.22

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Solution

The fourth proportional to 945, 1,416.78 and 506.22 is: 758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    945 : 1,416.78 = 506.22 : x
  2. Step 2: Convert to fraction form
    945/1,416.78 = 506.22/x
  3. Step 3: Cross multiply
    945x = 1,416.78 × 506.22
  4. Step 4: Simplify right side
    945x = 717,202.37
  5. Step 5: Solve for x
    x = 717,202.37/945
  6. Step 6: Final answer
    x = 758.94

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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.