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Finding the Fourth Proportional to 753.22, 1,039.46 and 421.64

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Solution

The fourth proportional to 753.22, 1,039.46 and 421.64 is: 581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.22 : 1,039.46 = 421.64 : x
  2. Step 2: Convert to fraction form
    753.22/1,039.46 = 421.64/x
  3. Step 3: Cross multiply
    753.22x = 1,039.46 × 421.64
  4. Step 4: Simplify right side
    753.22x = 438,275.14
  5. Step 5: Solve for x
    x = 438,275.14/753.22
  6. Step 6: Final answer
    x = 581.87

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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.