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Finding the Fourth Proportional to 1,174.28, 1,620.26 and 676.78

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Solution

The fourth proportional to 1,174.28, 1,620.26 and 676.78 is: 933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.28 : 1,620.26 = 676.78 : x
  2. Step 2: Convert to fraction form
    1,174.28/1,620.26 = 676.78/x
  3. Step 3: Cross multiply
    1,174.28x = 1,620.26 × 676.78
  4. Step 4: Simplify right side
    1,174.28x = 1,096,560.74
  5. Step 5: Solve for x
    x = 1,096,560.74/1,174.28
  6. Step 6: Final answer
    x = 933.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.