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Finding the Fourth Proportional to 790.14, 1,184.64 and 419.70

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Solution

The fourth proportional to 790.14, 1,184.64 and 419.70 is: 629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.14 : 1,184.64 = 419.70 : x
  2. Step 2: Convert to fraction form
    790.14/1,184.64 = 419.70/x
  3. Step 3: Cross multiply
    790.14x = 1,184.64 × 419.70
  4. Step 4: Simplify right side
    790.14x = 497,198.64
  5. Step 5: Solve for x
    x = 497,198.64/790.14
  6. Step 6: Final answer
    x = 629.25

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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.