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Finding the Fourth Proportional to 943.66, 1,416.32 and 505.27

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Solution

The fourth proportional to 943.66, 1,416.32 and 505.27 is: 758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.66 : 1,416.32 = 505.27 : x
  2. Step 2: Convert to fraction form
    943.66/1,416.32 = 505.27/x
  3. Step 3: Cross multiply
    943.66x = 1,416.32 × 505.27
  4. Step 4: Simplify right side
    943.66x = 715,624.01
  5. Step 5: Solve for x
    x = 715,624.01/943.66
  6. Step 6: Final answer
    x = 758.35

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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.