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Finding the Fourth Proportional to 784.70, 1,177.26 and 419.20

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Solution

The fourth proportional to 784.70, 1,177.26 and 419.20 is: 628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.70 : 1,177.26 = 419.20 : x
  2. Step 2: Convert to fraction form
    784.70/1,177.26 = 419.20/x
  3. Step 3: Cross multiply
    784.70x = 1,177.26 × 419.20
  4. Step 4: Simplify right side
    784.70x = 493,507.39
  5. Step 5: Solve for x
    x = 493,507.39/784.70
  6. Step 6: Final answer
    x = 628.91

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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.