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Finding the Fourth Proportional to 977.62, 1,466.15 and 457.09

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Solution

The fourth proportional to 977.62, 1,466.15 and 457.09 is: 685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.62 : 1,466.15 = 457.09 : x
  2. Step 2: Convert to fraction form
    977.62/1,466.15 = 457.09/x
  3. Step 3: Cross multiply
    977.62x = 1,466.15 × 457.09
  4. Step 4: Simplify right side
    977.62x = 670,167.37
  5. Step 5: Solve for x
    x = 670,167.37/977.62
  6. Step 6: Final answer
    x = 685.51

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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.