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Finding the Fourth Proportional to 786.84, 1,180.47 and 239.02

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Solution

The fourth proportional to 786.84, 1,180.47 and 239.02 is: 358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.84 : 1,180.47 = 239.02 : x
  2. Step 2: Convert to fraction form
    786.84/1,180.47 = 239.02/x
  3. Step 3: Cross multiply
    786.84x = 1,180.47 × 239.02
  4. Step 4: Simplify right side
    786.84x = 282,155.94
  5. Step 5: Solve for x
    x = 282,155.94/786.84
  6. Step 6: Final answer
    x = 358.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.