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Finding the Fourth Proportional to 784.99, 1,177 and 394.53

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Solution

The fourth proportional to 784.99, 1,177 and 394.53 is: 591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.99 : 1,177 = 394.53 : x
  2. Step 2: Convert to fraction form
    784.99/1,177 = 394.53/x
  3. Step 3: Cross multiply
    784.99x = 1,177 × 394.53
  4. Step 4: Simplify right side
    784.99x = 464,361.81
  5. Step 5: Solve for x
    x = 464,361.81/784.99
  6. Step 6: Final answer
    x = 591.55

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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.