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Finding the Fourth Proportional to 794.43, 1,189.62 and 470.03

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Solution

The fourth proportional to 794.43, 1,189.62 and 470.03 is: 703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.43 : 1,189.62 = 470.03 : x
  2. Step 2: Convert to fraction form
    794.43/1,189.62 = 470.03/x
  3. Step 3: Cross multiply
    794.43x = 1,189.62 × 470.03
  4. Step 4: Simplify right side
    794.43x = 559,154.74
  5. Step 5: Solve for x
    x = 559,154.74/794.43
  6. Step 6: Final answer
    x = 703.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.