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Finding the Fourth Proportional to 1,272.02, 1,904.68 and 1,023.90

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Solution

The fourth proportional to 1,272.02, 1,904.68 and 1,023.90 is: 1,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.02 : 1,904.68 = 1,023.90 : x
  2. Step 2: Convert to fraction form
    1,272.02/1,904.68 = 1,023.90/x
  3. Step 3: Cross multiply
    1,272.02x = 1,904.68 × 1,023.90
  4. Step 4: Simplify right side
    1,272.02x = 1,950,201.85
  5. Step 5: Solve for x
    x = 1,950,201.85/1,272.02
  6. Step 6: Final answer
    x = 1,533.15

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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.