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Finding the Fourth Proportional to 684.00, 1,026.68 and 461.61

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Solution

The fourth proportional to 684.00, 1,026.68 and 461.61 is: 692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.00 : 1,026.68 = 461.61 : x
  2. Step 2: Convert to fraction form
    684.00/1,026.68 = 461.61/x
  3. Step 3: Cross multiply
    684.00x = 1,026.68 × 461.61
  4. Step 4: Simplify right side
    684.00x = 473,923.06
  5. Step 5: Solve for x
    x = 473,923.06/684.00
  6. Step 6: Final answer
    x = 692.87

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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.