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Finding the Fourth Proportional to 761.08, 1,141.86 and 419

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Solution

The fourth proportional to 761.08, 1,141.86 and 419 is: 628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.08 : 1,141.86 = 419 : x
  2. Step 2: Convert to fraction form
    761.08/1,141.86 = 419/x
  3. Step 3: Cross multiply
    761.08x = 1,141.86 × 419
  4. Step 4: Simplify right side
    761.08x = 478,439.34
  5. Step 5: Solve for x
    x = 478,439.34/761.08
  6. Step 6: Final answer
    x = 628.63

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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.