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Finding the Fourth Proportional to 684.62, 1,026.10 and 318.63

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Solution

The fourth proportional to 684.62, 1,026.10 and 318.63 is: 477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.62 : 1,026.10 = 318.63 : x
  2. Step 2: Convert to fraction form
    684.62/1,026.10 = 318.63/x
  3. Step 3: Cross multiply
    684.62x = 1,026.10 × 318.63
  4. Step 4: Simplify right side
    684.62x = 326,946.24
  5. Step 5: Solve for x
    x = 326,946.24/684.62
  6. Step 6: Final answer
    x = 477.56

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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.