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Finding the Fourth Proportional to 899.84, 1,242 and 838.28

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Solution

The fourth proportional to 899.84, 1,242 and 838.28 is: 1,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.84 : 1,242 = 838.28 : x
  2. Step 2: Convert to fraction form
    899.84/1,242 = 838.28/x
  3. Step 3: Cross multiply
    899.84x = 1,242 × 838.28
  4. Step 4: Simplify right side
    899.84x = 1,041,146.87
  5. Step 5: Solve for x
    x = 1,041,146.87/899.84
  6. Step 6: Final answer
    x = 1,157.03

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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.