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Finding the Fourth Proportional to 1,577.23, 2,365.44 and 653.05

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Solution

The fourth proportional to 1,577.23, 2,365.44 and 653.05 is: 979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.23 : 2,365.44 = 653.05 : x
  2. Step 2: Convert to fraction form
    1,577.23/2,365.44 = 653.05/x
  3. Step 3: Cross multiply
    1,577.23x = 2,365.44 × 653.05
  4. Step 4: Simplify right side
    1,577.23x = 1,544,750.59
  5. Step 5: Solve for x
    x = 1,544,750.59/1,577.23
  6. Step 6: Final answer
    x = 979.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.