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Finding the Fourth Proportional to 1,077.03, 1,486.32 and 611.28

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Solution

The fourth proportional to 1,077.03, 1,486.32 and 611.28 is: 843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.03 : 1,486.32 = 611.28 : x
  2. Step 2: Convert to fraction form
    1,077.03/1,486.32 = 611.28/x
  3. Step 3: Cross multiply
    1,077.03x = 1,486.32 × 611.28
  4. Step 4: Simplify right side
    1,077.03x = 908,557.69
  5. Step 5: Solve for x
    x = 908,557.69/1,077.03
  6. Step 6: Final answer
    x = 843.58

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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.