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Finding the Fourth Proportional to 1,177.12, 1,763.86 and 446.30

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Solution

The fourth proportional to 1,177.12, 1,763.86 and 446.30 is: 668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.12 : 1,763.86 = 446.30 : x
  2. Step 2: Convert to fraction form
    1,177.12/1,763.86 = 446.30/x
  3. Step 3: Cross multiply
    1,177.12x = 1,763.86 × 446.30
  4. Step 4: Simplify right side
    1,177.12x = 787,210.72
  5. Step 5: Solve for x
    x = 787,210.72/1,177.12
  6. Step 6: Final answer
    x = 668.76

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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.