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Finding the Fourth Proportional to 753.14, 1,039.26 and 421.55

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Solution

The fourth proportional to 753.14, 1,039.26 and 421.55 is: 581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.14 : 1,039.26 = 421.55 : x
  2. Step 2: Convert to fraction form
    753.14/1,039.26 = 421.55/x
  3. Step 3: Cross multiply
    753.14x = 1,039.26 × 421.55
  4. Step 4: Simplify right side
    753.14x = 438,094.86
  5. Step 5: Solve for x
    x = 438,094.86/753.14
  6. Step 6: Final answer
    x = 581.69

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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.