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Finding the Fourth Proportional to 792.81, 1,189.18 and 470.23

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Solution

The fourth proportional to 792.81, 1,189.18 and 470.23 is: 705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.81 : 1,189.18 = 470.23 : x
  2. Step 2: Convert to fraction form
    792.81/1,189.18 = 470.23/x
  3. Step 3: Cross multiply
    792.81x = 1,189.18 × 470.23
  4. Step 4: Simplify right side
    792.81x = 559,185.76
  5. Step 5: Solve for x
    x = 559,185.76/792.81
  6. Step 6: Final answer
    x = 705.32

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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.