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Finding the Fourth Proportional to 977.27, 1,348.55 and 557.69

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Solution

The fourth proportional to 977.27, 1,348.55 and 557.69 is: 769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.27 : 1,348.55 = 557.69 : x
  2. Step 2: Convert to fraction form
    977.27/1,348.55 = 557.69/x
  3. Step 3: Cross multiply
    977.27x = 1,348.55 × 557.69
  4. Step 4: Simplify right side
    977.27x = 752,065.41
  5. Step 5: Solve for x
    x = 752,065.41/977.27
  6. Step 6: Final answer
    x = 769.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.