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Finding the Fourth Proportional to 943.59, 1,416.02 and 456.68

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Solution

The fourth proportional to 943.59, 1,416.02 and 456.68 is: 685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.59 : 1,416.02 = 456.68 : x
  2. Step 2: Convert to fraction form
    943.59/1,416.02 = 456.68/x
  3. Step 3: Cross multiply
    943.59x = 1,416.02 × 456.68
  4. Step 4: Simplify right side
    943.59x = 646,669.27
  5. Step 5: Solve for x
    x = 646,669.27/943.59
  6. Step 6: Final answer
    x = 685.33

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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.