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Finding the Fourth Proportional to 753.37, 1,039.43 and 504.70

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Solution

The fourth proportional to 753.37, 1,039.43 and 504.70 is: 696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.37 : 1,039.43 = 504.70 : x
  2. Step 2: Convert to fraction form
    753.37/1,039.43 = 504.70/x
  3. Step 3: Cross multiply
    753.37x = 1,039.43 × 504.70
  4. Step 4: Simplify right side
    753.37x = 524,598.98
  5. Step 5: Solve for x
    x = 524,598.98/753.37
  6. Step 6: Final answer
    x = 696.34

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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.