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Finding the Fourth Proportional to 855.02, 1,179.74 and 505.50

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Solution

The fourth proportional to 855.02, 1,179.74 and 505.50 is: 697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.02 : 1,179.74 = 505.50 : x
  2. Step 2: Convert to fraction form
    855.02/1,179.74 = 505.50/x
  3. Step 3: Cross multiply
    855.02x = 1,179.74 × 505.50
  4. Step 4: Simplify right side
    855.02x = 596,356.04
  5. Step 5: Solve for x
    x = 596,356.04/855.02
  6. Step 6: Final answer
    x = 697.48

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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.