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Finding the Fourth Proportional to 1,023.83, 1,412.38 and 669.60

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Solution

The fourth proportional to 1,023.83, 1,412.38 and 669.60 is: 923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.83 : 1,412.38 = 669.60 : x
  2. Step 2: Convert to fraction form
    1,023.83/1,412.38 = 669.60/x
  3. Step 3: Cross multiply
    1,023.83x = 1,412.38 × 669.60
  4. Step 4: Simplify right side
    1,023.83x = 945,729.65
  5. Step 5: Solve for x
    x = 945,729.65/1,023.83
  6. Step 6: Final answer
    x = 923.72

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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.