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Finding the Fourth Proportional to 684.39, 1,026.71 and 314.22

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Solution

The fourth proportional to 684.39, 1,026.71 and 314.22 is: 471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.39 : 1,026.71 = 314.22 : x
  2. Step 2: Convert to fraction form
    684.39/1,026.71 = 314.22/x
  3. Step 3: Cross multiply
    684.39x = 1,026.71 × 314.22
  4. Step 4: Simplify right side
    684.39x = 322,612.82
  5. Step 5: Solve for x
    x = 322,612.82/684.39
  6. Step 6: Final answer
    x = 471.39

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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.