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Finding the Fourth Proportional to 786.07, 1,178.75 and 395.82

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Solution

The fourth proportional to 786.07, 1,178.75 and 395.82 is: 593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.07 : 1,178.75 = 395.82 : x
  2. Step 2: Convert to fraction form
    786.07/1,178.75 = 395.82/x
  3. Step 3: Cross multiply
    786.07x = 1,178.75 × 395.82
  4. Step 4: Simplify right side
    786.07x = 466,573.81
  5. Step 5: Solve for x
    x = 466,573.81/786.07
  6. Step 6: Final answer
    x = 593.55

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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.