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Finding the Fourth Proportional to 684.07, 1,026.64 and 477.30

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Solution

The fourth proportional to 684.07, 1,026.64 and 477.30 is: 716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.07 : 1,026.64 = 477.30 : x
  2. Step 2: Convert to fraction form
    684.07/1,026.64 = 477.30/x
  3. Step 3: Cross multiply
    684.07x = 1,026.64 × 477.30
  4. Step 4: Simplify right side
    684.07x = 490,015.27
  5. Step 5: Solve for x
    x = 490,015.27/684.07
  6. Step 6: Final answer
    x = 716.32

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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.