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Finding the Fourth Proportional to 804.35, 1,206.98 and 496.96

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Solution

The fourth proportional to 804.35, 1,206.98 and 496.96 is: 745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.35 : 1,206.98 = 496.96 : x
  2. Step 2: Convert to fraction form
    804.35/1,206.98 = 496.96/x
  3. Step 3: Cross multiply
    804.35x = 1,206.98 × 496.96
  4. Step 4: Simplify right side
    804.35x = 599,820.78
  5. Step 5: Solve for x
    x = 599,820.78/804.35
  6. Step 6: Final answer
    x = 745.72

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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.