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Finding the Fourth Proportional to 977.83, 1,466.03 and 457.54

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Solution

The fourth proportional to 977.83, 1,466.03 and 457.54 is: 685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.83 : 1,466.03 = 457.54 : x
  2. Step 2: Convert to fraction form
    977.83/1,466.03 = 457.54/x
  3. Step 3: Cross multiply
    977.83x = 1,466.03 × 457.54
  4. Step 4: Simplify right side
    977.83x = 670,767.37
  5. Step 5: Solve for x
    x = 670,767.37/977.83
  6. Step 6: Final answer
    x = 685.98

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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.