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Finding the Fourth Proportional to 1,302.58, 1,796.78 and 830.55

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Solution

The fourth proportional to 1,302.58, 1,796.78 and 830.55 is: 1,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.58 : 1,796.78 = 830.55 : x
  2. Step 2: Convert to fraction form
    1,302.58/1,796.78 = 830.55/x
  3. Step 3: Cross multiply
    1,302.58x = 1,796.78 × 830.55
  4. Step 4: Simplify right side
    1,302.58x = 1,492,324.44
  5. Step 5: Solve for x
    x = 1,492,324.44/1,302.58
  6. Step 6: Final answer
    x = 1,145.67

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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.