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Finding the Fourth Proportional to 1,431.62, 1,975.04 and 871.64

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Solution

The fourth proportional to 1,431.62, 1,975.04 and 871.64 is: 1,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.62 : 1,975.04 = 871.64 : x
  2. Step 2: Convert to fraction form
    1,431.62/1,975.04 = 871.64/x
  3. Step 3: Cross multiply
    1,431.62x = 1,975.04 × 871.64
  4. Step 4: Simplify right side
    1,431.62x = 1,721,509.63
  5. Step 5: Solve for x
    x = 1,721,509.63/1,431.62
  6. Step 6: Final answer
    x = 1,202.49

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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.