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Finding the Fourth Proportional to 753.67, 1,039.88 and 438.74

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Solution

The fourth proportional to 753.67, 1,039.88 and 438.74 is: 605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.67 : 1,039.88 = 438.74 : x
  2. Step 2: Convert to fraction form
    753.67/1,039.88 = 438.74/x
  3. Step 3: Cross multiply
    753.67x = 1,039.88 × 438.74
  4. Step 4: Simplify right side
    753.67x = 456,236.95
  5. Step 5: Solve for x
    x = 456,236.95/753.67
  6. Step 6: Final answer
    x = 605.36

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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.