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Finding the Fourth Proportional to 1,152.08, 1,589.93 and 871.82

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Solution

The fourth proportional to 1,152.08, 1,589.93 and 871.82 is: 1,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.08 : 1,589.93 = 871.82 : x
  2. Step 2: Convert to fraction form
    1,152.08/1,589.93 = 871.82/x
  3. Step 3: Cross multiply
    1,152.08x = 1,589.93 × 871.82
  4. Step 4: Simplify right side
    1,152.08x = 1,386,135.66
  5. Step 5: Solve for x
    x = 1,386,135.66/1,152.08
  6. Step 6: Final answer
    x = 1,203.16

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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.