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Finding the Fourth Proportional to 856.15, 1,180.78 and 506.50

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Solution

The fourth proportional to 856.15, 1,180.78 and 506.50 is: 698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.15 : 1,180.78 = 506.50 : x
  2. Step 2: Convert to fraction form
    856.15/1,180.78 = 506.50/x
  3. Step 3: Cross multiply
    856.15x = 1,180.78 × 506.50
  4. Step 4: Simplify right side
    856.15x = 598,065.07
  5. Step 5: Solve for x
    x = 598,065.07/856.15
  6. Step 6: Final answer
    x = 698.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.