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Finding the Fourth Proportional to 753.21, 1,039.49 and 421.66

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Solution

The fourth proportional to 753.21, 1,039.49 and 421.66 is: 581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.21 : 1,039.49 = 421.66 : x
  2. Step 2: Convert to fraction form
    753.21/1,039.49 = 421.66/x
  3. Step 3: Cross multiply
    753.21x = 1,039.49 × 421.66
  4. Step 4: Simplify right side
    753.21x = 438,309.81
  5. Step 5: Solve for x
    x = 438,309.81/753.21
  6. Step 6: Final answer
    x = 581.92

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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.