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Finding the Fourth Proportional to 881.51, 1,321.32 and 419

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Solution

The fourth proportional to 881.51, 1,321.32 and 419 is: 628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.51 : 1,321.32 = 419 : x
  2. Step 2: Convert to fraction form
    881.51/1,321.32 = 419/x
  3. Step 3: Cross multiply
    881.51x = 1,321.32 × 419
  4. Step 4: Simplify right side
    881.51x = 553,633.08
  5. Step 5: Solve for x
    x = 553,633.08/881.51
  6. Step 6: Final answer
    x = 628.05

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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.