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Finding the Fourth Proportional to 945.91, 1,416.03 and 511.75

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Solution

The fourth proportional to 945.91, 1,416.03 and 511.75 is: 766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.91 : 1,416.03 = 511.75 : x
  2. Step 2: Convert to fraction form
    945.91/1,416.03 = 511.75/x
  3. Step 3: Cross multiply
    945.91x = 1,416.03 × 511.75
  4. Step 4: Simplify right side
    945.91x = 724,653.35
  5. Step 5: Solve for x
    x = 724,653.35/945.91
  6. Step 6: Final answer
    x = 766.09

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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.