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Finding the Fourth Proportional to 784.59, 1,177.64 and 419.63

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Solution

The fourth proportional to 784.59, 1,177.64 and 419.63 is: 629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.59 : 1,177.64 = 419.63 : x
  2. Step 2: Convert to fraction form
    784.59/1,177.64 = 419.63/x
  3. Step 3: Cross multiply
    784.59x = 1,177.64 × 419.63
  4. Step 4: Simplify right side
    784.59x = 494,173.07
  5. Step 5: Solve for x
    x = 494,173.07/784.59
  6. Step 6: Final answer
    x = 629.85

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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.