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Finding the Fourth Proportional to 1,484.49, 2,048.32 and 855.02

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Solution

The fourth proportional to 1,484.49, 2,048.32 and 855.02 is: 1,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.49 : 2,048.32 = 855.02 : x
  2. Step 2: Convert to fraction form
    1,484.49/2,048.32 = 855.02/x
  3. Step 3: Cross multiply
    1,484.49x = 2,048.32 × 855.02
  4. Step 4: Simplify right side
    1,484.49x = 1,751,360.76
  5. Step 5: Solve for x
    x = 1,751,360.76/1,484.49
  6. Step 6: Final answer
    x = 1,179.77

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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.