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Finding the Fourth Proportional to 683.64, 1,026.07 and 318.63

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Solution

The fourth proportional to 683.64, 1,026.07 and 318.63 is: 478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.64 : 1,026.07 = 318.63 : x
  2. Step 2: Convert to fraction form
    683.64/1,026.07 = 318.63/x
  3. Step 3: Cross multiply
    683.64x = 1,026.07 × 318.63
  4. Step 4: Simplify right side
    683.64x = 326,939.74
  5. Step 5: Solve for x
    x = 326,939.74/683.64
  6. Step 6: Final answer
    x = 478.23

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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.