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Finding the Fourth Proportional to 977.89, 1,466.58 and 361.78

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Solution

The fourth proportional to 977.89, 1,466.58 and 361.78 is: 542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.89 : 1,466.58 = 361.78 : x
  2. Step 2: Convert to fraction form
    977.89/1,466.58 = 361.78/x
  3. Step 3: Cross multiply
    977.89x = 1,466.58 × 361.78
  4. Step 4: Simplify right side
    977.89x = 530,572.88
  5. Step 5: Solve for x
    x = 530,572.88/977.89
  6. Step 6: Final answer
    x = 542.57

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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.