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Finding the Fourth Proportional to 684, 1,025.46 and 410.40

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Solution

The fourth proportional to 684, 1,025.46 and 410.40 is: 615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    684 : 1,025.46 = 410.40 : x
  2. Step 2: Convert to fraction form
    684/1,025.46 = 410.40/x
  3. Step 3: Cross multiply
    684x = 1,025.46 × 410.40
  4. Step 4: Simplify right side
    684x = 420,848.78
  5. Step 5: Solve for x
    x = 420,848.78/684
  6. Step 6: Final answer
    x = 615.28

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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.