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Finding the Fourth Proportional to 977.09, 1,349.19 and 682.25

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Solution

The fourth proportional to 977.09, 1,349.19 and 682.25 is: 942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.09 : 1,349.19 = 682.25 : x
  2. Step 2: Convert to fraction form
    977.09/1,349.19 = 682.25/x
  3. Step 3: Cross multiply
    977.09x = 1,349.19 × 682.25
  4. Step 4: Simplify right side
    977.09x = 920,478.13
  5. Step 5: Solve for x
    x = 920,478.13/977.09
  6. Step 6: Final answer
    x = 942.07

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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.