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Finding the Fourth Proportional to 1,388.55, 2,080.67 and 874.47

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Solution

The fourth proportional to 1,388.55, 2,080.67 and 874.47 is: 1,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.55 : 2,080.67 = 874.47 : x
  2. Step 2: Convert to fraction form
    1,388.55/2,080.67 = 874.47/x
  3. Step 3: Cross multiply
    1,388.55x = 2,080.67 × 874.47
  4. Step 4: Simplify right side
    1,388.55x = 1,819,479.12
  5. Step 5: Solve for x
    x = 1,819,479.12/1,388.55
  6. Step 6: Final answer
    x = 1,310.34

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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.