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Finding the Fourth Proportional to 977.46, 1,349.26 and 664.34

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Solution

The fourth proportional to 977.46, 1,349.26 and 664.34 is: 917.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.46 : 1,349.26 = 664.34 : x
  2. Step 2: Convert to fraction form
    977.46/1,349.26 = 664.34/x
  3. Step 3: Cross multiply
    977.46x = 1,349.26 × 664.34
  4. Step 4: Simplify right side
    977.46x = 896,367.39
  5. Step 5: Solve for x
    x = 896,367.39/977.46
  6. Step 6: Final answer
    x = 917.04

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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.