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Finding the Fourth Proportional to 945.62, 1,416.96 and 482.75

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Solution

The fourth proportional to 945.62, 1,416.96 and 482.75 is: 723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.62 : 1,416.96 = 482.75 : x
  2. Step 2: Convert to fraction form
    945.62/1,416.96 = 482.75/x
  3. Step 3: Cross multiply
    945.62x = 1,416.96 × 482.75
  4. Step 4: Simplify right side
    945.62x = 684,030.36
  5. Step 5: Solve for x
    x = 684,030.36/945.62
  6. Step 6: Final answer
    x = 723.37

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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.