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Finding the Fourth Proportional to 684.73, 1,024.50 and 416.59

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Solution

The fourth proportional to 684.73, 1,024.50 and 416.59 is: 623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.73 : 1,024.50 = 416.59 : x
  2. Step 2: Convert to fraction form
    684.73/1,024.50 = 416.59/x
  3. Step 3: Cross multiply
    684.73x = 1,024.50 × 416.59
  4. Step 4: Simplify right side
    684.73x = 426,796.46
  5. Step 5: Solve for x
    x = 426,796.46/684.73
  6. Step 6: Final answer
    x = 623.31

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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.