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Finding the Fourth Proportional to 855.63, 1,180.24 and 556.74

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Solution

The fourth proportional to 855.63, 1,180.24 and 556.74 is: 767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.63 : 1,180.24 = 556.74 : x
  2. Step 2: Convert to fraction form
    855.63/1,180.24 = 556.74/x
  3. Step 3: Cross multiply
    855.63x = 1,180.24 × 556.74
  4. Step 4: Simplify right side
    855.63x = 657,085.43
  5. Step 5: Solve for x
    x = 657,085.43/855.63
  6. Step 6: Final answer
    x = 767.96

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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.