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Finding the Fourth Proportional to 899.02, 1,241.76 and 870.31

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Solution

The fourth proportional to 899.02, 1,241.76 and 870.31 is: 1,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.02 : 1,241.76 = 870.31 : x
  2. Step 2: Convert to fraction form
    899.02/1,241.76 = 870.31/x
  3. Step 3: Cross multiply
    899.02x = 1,241.76 × 870.31
  4. Step 4: Simplify right side
    899.02x = 1,080,716.15
  5. Step 5: Solve for x
    x = 1,080,716.15/899.02
  6. Step 6: Final answer
    x = 1,202.10

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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.