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Finding the Fourth Proportional to 945.11, 1,416.97 and 506.35

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Solution

The fourth proportional to 945.11, 1,416.97 and 506.35 is: 759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.11 : 1,416.97 = 506.35 : x
  2. Step 2: Convert to fraction form
    945.11/1,416.97 = 506.35/x
  3. Step 3: Cross multiply
    945.11x = 1,416.97 × 506.35
  4. Step 4: Simplify right side
    945.11x = 717,473.14
  5. Step 5: Solve for x
    x = 717,473.14/945.11
  6. Step 6: Final answer
    x = 759.14

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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.