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Finding the Fourth Proportional to 753.27, 1,039.57 and 421.70

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Solution

The fourth proportional to 753.27, 1,039.57 and 421.70 is: 581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.27 : 1,039.57 = 421.70 : x
  2. Step 2: Convert to fraction form
    753.27/1,039.57 = 421.70/x
  3. Step 3: Cross multiply
    753.27x = 1,039.57 × 421.70
  4. Step 4: Simplify right side
    753.27x = 438,387.42
  5. Step 5: Solve for x
    x = 438,387.42/753.27
  6. Step 6: Final answer
    x = 581.98

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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.