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Finding the Fourth Proportional to 753.17, 1,039.43 and 421.65

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Solution

The fourth proportional to 753.17, 1,039.43 and 421.65 is: 581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.17 : 1,039.43 = 421.65 : x
  2. Step 2: Convert to fraction form
    753.17/1,039.43 = 421.65/x
  3. Step 3: Cross multiply
    753.17x = 1,039.43 × 421.65
  4. Step 4: Simplify right side
    753.17x = 438,273.55
  5. Step 5: Solve for x
    x = 438,273.55/753.17
  6. Step 6: Final answer
    x = 581.90

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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.