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Finding the Fourth Proportional to 855, 1,179.90 and 505.90

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Solution

The fourth proportional to 855, 1,179.90 and 505.90 is: 698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    855 : 1,179.90 = 505.90 : x
  2. Step 2: Convert to fraction form
    855/1,179.90 = 505.90/x
  3. Step 3: Cross multiply
    855x = 1,179.90 × 505.90
  4. Step 4: Simplify right side
    855x = 596,911.41
  5. Step 5: Solve for x
    x = 596,911.41/855
  6. Step 6: Final answer
    x = 698.14

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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.