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Finding the Fourth Proportional to 684.04, 1,025.44 and 410.66

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Solution

The fourth proportional to 684.04, 1,025.44 and 410.66 is: 615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.04 : 1,025.44 = 410.66 : x
  2. Step 2: Convert to fraction form
    684.04/1,025.44 = 410.66/x
  3. Step 3: Cross multiply
    684.04x = 1,025.44 × 410.66
  4. Step 4: Simplify right side
    684.04x = 421,107.19
  5. Step 5: Solve for x
    x = 421,107.19/684.04
  6. Step 6: Final answer
    x = 615.62

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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.