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Finding the Fourth Proportional to 1,182.78, 1,774.23 and 452.43

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Solution

The fourth proportional to 1,182.78, 1,774.23 and 452.43 is: 678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.78 : 1,774.23 = 452.43 : x
  2. Step 2: Convert to fraction form
    1,182.78/1,774.23 = 452.43/x
  3. Step 3: Cross multiply
    1,182.78x = 1,774.23 × 452.43
  4. Step 4: Simplify right side
    1,182.78x = 802,714.88
  5. Step 5: Solve for x
    x = 802,714.88/1,182.78
  6. Step 6: Final answer
    x = 678.67

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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.