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Finding the Fourth Proportional to 943.65, 1,415.82 and 456.75

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Solution

The fourth proportional to 943.65, 1,415.82 and 456.75 is: 685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.65 : 1,415.82 = 456.75 : x
  2. Step 2: Convert to fraction form
    943.65/1,415.82 = 456.75/x
  3. Step 3: Cross multiply
    943.65x = 1,415.82 × 456.75
  4. Step 4: Simplify right side
    943.65x = 646,675.79
  5. Step 5: Solve for x
    x = 646,675.79/943.65
  6. Step 6: Final answer
    x = 685.29

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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.