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Finding the Fourth Proportional to 1,164.82, 1,610.02 and 1,023.88

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Solution

The fourth proportional to 1,164.82, 1,610.02 and 1,023.88 is: 1,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.82 : 1,610.02 = 1,023.88 : x
  2. Step 2: Convert to fraction form
    1,164.82/1,610.02 = 1,023.88/x
  3. Step 3: Cross multiply
    1,164.82x = 1,610.02 × 1,023.88
  4. Step 4: Simplify right side
    1,164.82x = 1,648,467.28
  5. Step 5: Solve for x
    x = 1,648,467.28/1,164.82
  6. Step 6: Final answer
    x = 1,415.21

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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.