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Finding the Fourth Proportional to 977.44, 1,466.16 and 457.27

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Solution

The fourth proportional to 977.44, 1,466.16 and 457.27 is: 685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.44 : 1,466.16 = 457.27 : x
  2. Step 2: Convert to fraction form
    977.44/1,466.16 = 457.27/x
  3. Step 3: Cross multiply
    977.44x = 1,466.16 × 457.27
  4. Step 4: Simplify right side
    977.44x = 670,430.98
  5. Step 5: Solve for x
    x = 670,430.98/977.44
  6. Step 6: Final answer
    x = 685.91

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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.