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Finding the Fourth Proportional to 977.76, 1,466.80 and 464.76

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Solution

The fourth proportional to 977.76, 1,466.80 and 464.76 is: 697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.76 : 1,466.80 = 464.76 : x
  2. Step 2: Convert to fraction form
    977.76/1,466.80 = 464.76/x
  3. Step 3: Cross multiply
    977.76x = 1,466.80 × 464.76
  4. Step 4: Simplify right side
    977.76x = 681,709.97
  5. Step 5: Solve for x
    x = 681,709.97/977.76
  6. Step 6: Final answer
    x = 697.22

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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.