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Finding the Fourth Proportional to 899.37, 1,346.63 and 738.99

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Solution

The fourth proportional to 899.37, 1,346.63 and 738.99 is: 1,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.37 : 1,346.63 = 738.99 : x
  2. Step 2: Convert to fraction form
    899.37/1,346.63 = 738.99/x
  3. Step 3: Cross multiply
    899.37x = 1,346.63 × 738.99
  4. Step 4: Simplify right side
    899.37x = 995,142.41
  5. Step 5: Solve for x
    x = 995,142.41/899.37
  6. Step 6: Final answer
    x = 1,106.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.