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Finding the Fourth Proportional to 855.56, 1,180.14 and 506

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Solution

The fourth proportional to 855.56, 1,180.14 and 506 is: 697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.56 : 1,180.14 = 506 : x
  2. Step 2: Convert to fraction form
    855.56/1,180.14 = 506/x
  3. Step 3: Cross multiply
    855.56x = 1,180.14 × 506
  4. Step 4: Simplify right side
    855.56x = 597,150.84
  5. Step 5: Solve for x
    x = 597,150.84/855.56
  6. Step 6: Final answer
    x = 697.96

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Why These Related Problems?

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