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Finding the Fourth Proportional to 804.21, 1,109.43 and 524.70

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Solution

The fourth proportional to 804.21, 1,109.43 and 524.70 is: 723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.21 : 1,109.43 = 524.70 : x
  2. Step 2: Convert to fraction form
    804.21/1,109.43 = 524.70/x
  3. Step 3: Cross multiply
    804.21x = 1,109.43 × 524.70
  4. Step 4: Simplify right side
    804.21x = 582,117.92
  5. Step 5: Solve for x
    x = 582,117.92/804.21
  6. Step 6: Final answer
    x = 723.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.