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Finding the Fourth Proportional to 1,648.74, 2,471.94 and 770.76

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Solution

The fourth proportional to 1,648.74, 2,471.94 and 770.76 is: 1,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.74 : 2,471.94 = 770.76 : x
  2. Step 2: Convert to fraction form
    1,648.74/2,471.94 = 770.76/x
  3. Step 3: Cross multiply
    1,648.74x = 2,471.94 × 770.76
  4. Step 4: Simplify right side
    1,648.74x = 1,905,265.88
  5. Step 5: Solve for x
    x = 1,905,265.88/1,648.74
  6. Step 6: Final answer
    x = 1,155.59

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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.