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Finding the Fourth Proportional to 1,302.12, 1,797.51 and 830.65

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Solution

The fourth proportional to 1,302.12, 1,797.51 and 830.65 is: 1,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.12 : 1,797.51 = 830.65 : x
  2. Step 2: Convert to fraction form
    1,302.12/1,797.51 = 830.65/x
  3. Step 3: Cross multiply
    1,302.12x = 1,797.51 × 830.65
  4. Step 4: Simplify right side
    1,302.12x = 1,493,101.68
  5. Step 5: Solve for x
    x = 1,493,101.68/1,302.12
  6. Step 6: Final answer
    x = 1,146.67

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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.