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Finding the Fourth Proportional to 977.35, 1,466.37 and 611.71

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Solution

The fourth proportional to 977.35, 1,466.37 and 611.71 is: 917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.35 : 1,466.37 = 611.71 : x
  2. Step 2: Convert to fraction form
    977.35/1,466.37 = 611.71/x
  3. Step 3: Cross multiply
    977.35x = 1,466.37 × 611.71
  4. Step 4: Simplify right side
    977.35x = 896,993.19
  5. Step 5: Solve for x
    x = 896,993.19/977.35
  6. Step 6: Final answer
    x = 917.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.