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Finding the Fourth Proportional to 977.06, 1,352.04 and 845.84

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Solution

The fourth proportional to 977.06, 1,352.04 and 845.84 is: 1,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.06 : 1,352.04 = 845.84 : x
  2. Step 2: Convert to fraction form
    977.06/1,352.04 = 845.84/x
  3. Step 3: Cross multiply
    977.06x = 1,352.04 × 845.84
  4. Step 4: Simplify right side
    977.06x = 1,143,609.51
  5. Step 5: Solve for x
    x = 1,143,609.51/977.06
  6. Step 6: Final answer
    x = 1,170.46

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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.