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Finding the Fourth Proportional to 753.10, 1,039.24 and 421.50

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Solution

The fourth proportional to 753.10, 1,039.24 and 421.50 is: 581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.10 : 1,039.24 = 421.50 : x
  2. Step 2: Convert to fraction form
    753.10/1,039.24 = 421.50/x
  3. Step 3: Cross multiply
    753.10x = 1,039.24 × 421.50
  4. Step 4: Simplify right side
    753.10x = 438,039.66
  5. Step 5: Solve for x
    x = 438,039.66/753.10
  6. Step 6: Final answer
    x = 581.65

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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.