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Finding the Fourth Proportional to 784.53, 1,177.55 and 419.57

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Solution

The fourth proportional to 784.53, 1,177.55 and 419.57 is: 629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.53 : 1,177.55 = 419.57 : x
  2. Step 2: Convert to fraction form
    784.53/1,177.55 = 419.57/x
  3. Step 3: Cross multiply
    784.53x = 1,177.55 × 419.57
  4. Step 4: Simplify right side
    784.53x = 494,056.67
  5. Step 5: Solve for x
    x = 494,056.67/784.53
  6. Step 6: Final answer
    x = 629.75

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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.