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Finding the Fourth Proportional to 943.54, 1,415.16 and 456.46

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Solution

The fourth proportional to 943.54, 1,415.16 and 456.46 is: 684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.54 : 1,415.16 = 456.46 : x
  2. Step 2: Convert to fraction form
    943.54/1,415.16 = 456.46/x
  3. Step 3: Cross multiply
    943.54x = 1,415.16 × 456.46
  4. Step 4: Simplify right side
    943.54x = 645,963.93
  5. Step 5: Solve for x
    x = 645,963.93/943.54
  6. Step 6: Final answer
    x = 684.62

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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.