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Finding the Fourth Proportional to 753.38, 1,039.62 and 504.66

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Solution

The fourth proportional to 753.38, 1,039.62 and 504.66 is: 696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.38 : 1,039.62 = 504.66 : x
  2. Step 2: Convert to fraction form
    753.38/1,039.62 = 504.66/x
  3. Step 3: Cross multiply
    753.38x = 1,039.62 × 504.66
  4. Step 4: Simplify right side
    753.38x = 524,657.58
  5. Step 5: Solve for x
    x = 524,657.58/753.38
  6. Step 6: Final answer
    x = 696.40

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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.