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Finding the Fourth Proportional to 1,300.58, 1,795.41 and 985.90

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Solution

The fourth proportional to 1,300.58, 1,795.41 and 985.90 is: 1,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.58 : 1,795.41 = 985.90 : x
  2. Step 2: Convert to fraction form
    1,300.58/1,795.41 = 985.90/x
  3. Step 3: Cross multiply
    1,300.58x = 1,795.41 × 985.90
  4. Step 4: Simplify right side
    1,300.58x = 1,770,094.72
  5. Step 5: Solve for x
    x = 1,770,094.72/1,300.58
  6. Step 6: Final answer
    x = 1,361.00

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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.