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Finding the Fourth Proportional to 977.11, 1,348.43 and 557.48

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Solution

The fourth proportional to 977.11, 1,348.43 and 557.48 is: 769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.11 : 1,348.43 = 557.48 : x
  2. Step 2: Convert to fraction form
    977.11/1,348.43 = 557.48/x
  3. Step 3: Cross multiply
    977.11x = 1,348.43 × 557.48
  4. Step 4: Simplify right side
    977.11x = 751,722.76
  5. Step 5: Solve for x
    x = 751,722.76/977.11
  6. Step 6: Final answer
    x = 769.33

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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.