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Finding the Fourth Proportional to 684.56, 1,024.44 and 424.40

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Solution

The fourth proportional to 684.56, 1,024.44 and 424.40 is: 635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.56 : 1,024.44 = 424.40 : x
  2. Step 2: Convert to fraction form
    684.56/1,024.44 = 424.40/x
  3. Step 3: Cross multiply
    684.56x = 1,024.44 × 424.40
  4. Step 4: Simplify right side
    684.56x = 434,772.34
  5. Step 5: Solve for x
    x = 434,772.34/684.56
  6. Step 6: Final answer
    x = 635.11

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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.