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Finding the Fourth Proportional to 684.71, 1,025.76 and 406.47

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Solution

The fourth proportional to 684.71, 1,025.76 and 406.47 is: 608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.71 : 1,025.76 = 406.47 : x
  2. Step 2: Convert to fraction form
    684.71/1,025.76 = 406.47/x
  3. Step 3: Cross multiply
    684.71x = 1,025.76 × 406.47
  4. Step 4: Simplify right side
    684.71x = 416,938.63
  5. Step 5: Solve for x
    x = 416,938.63/684.71
  6. Step 6: Final answer
    x = 608.93

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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.