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Finding the Fourth Proportional to 1,220.19, 1,675.74 and 1,023.36

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Solution

The fourth proportional to 1,220.19, 1,675.74 and 1,023.36 is: 1,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.19 : 1,675.74 = 1,023.36 : x
  2. Step 2: Convert to fraction form
    1,220.19/1,675.74 = 1,023.36/x
  3. Step 3: Cross multiply
    1,220.19x = 1,675.74 × 1,023.36
  4. Step 4: Simplify right side
    1,220.19x = 1,714,885.29
  5. Step 5: Solve for x
    x = 1,714,885.29/1,220.19
  6. Step 6: Final answer
    x = 1,405.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.