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Finding the Fourth Proportional to 1,174.89, 1,621.71 and 677.85

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Solution

The fourth proportional to 1,174.89, 1,621.71 and 677.85 is: 935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.89 : 1,621.71 = 677.85 : x
  2. Step 2: Convert to fraction form
    1,174.89/1,621.71 = 677.85/x
  3. Step 3: Cross multiply
    1,174.89x = 1,621.71 × 677.85
  4. Step 4: Simplify right side
    1,174.89x = 1,099,276.12
  5. Step 5: Solve for x
    x = 1,099,276.12/1,174.89
  6. Step 6: Final answer
    x = 935.64

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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.