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Finding the Fourth Proportional to 684.05, 1,026.19 and 376.05

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Solution

The fourth proportional to 684.05, 1,026.19 and 376.05 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.05 : 1,026.19 = 376.05 : x
  2. Step 2: Convert to fraction form
    684.05/1,026.19 = 376.05/x
  3. Step 3: Cross multiply
    684.05x = 1,026.19 × 376.05
  4. Step 4: Simplify right side
    684.05x = 385,901.24
  5. Step 5: Solve for x
    x = 385,901.24/684.05
  6. Step 6: Final answer
    x = 564.14

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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.