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Finding the Fourth Proportional to 1,404.94, 1,937.64 and 1,027.30

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Solution

The fourth proportional to 1,404.94, 1,937.64 and 1,027.30 is: 1,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.94 : 1,937.64 = 1,027.30 : x
  2. Step 2: Convert to fraction form
    1,404.94/1,937.64 = 1,027.30/x
  3. Step 3: Cross multiply
    1,404.94x = 1,937.64 × 1,027.30
  4. Step 4: Simplify right side
    1,404.94x = 1,990,537.57
  5. Step 5: Solve for x
    x = 1,990,537.57/1,404.94
  6. Step 6: Final answer
    x = 1,416.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.