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Finding the Fourth Proportional to 1,334.36, 1,998.65 and 1,023.93

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Solution

The fourth proportional to 1,334.36, 1,998.65 and 1,023.93 is: 1,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.36 : 1,998.65 = 1,023.93 : x
  2. Step 2: Convert to fraction form
    1,334.36/1,998.65 = 1,023.93/x
  3. Step 3: Cross multiply
    1,334.36x = 1,998.65 × 1,023.93
  4. Step 4: Simplify right side
    1,334.36x = 2,046,477.69
  5. Step 5: Solve for x
    x = 2,046,477.69/1,334.36
  6. Step 6: Final answer
    x = 1,533.68

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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.