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Finding the Fourth Proportional to 1,245.78, 1,867.23 and 669.06

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Solution

The fourth proportional to 1,245.78, 1,867.23 and 669.06 is: 1,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.78 : 1,867.23 = 669.06 : x
  2. Step 2: Convert to fraction form
    1,245.78/1,867.23 = 669.06/x
  3. Step 3: Cross multiply
    1,245.78x = 1,867.23 × 669.06
  4. Step 4: Simplify right side
    1,245.78x = 1,249,288.90
  5. Step 5: Solve for x
    x = 1,249,288.90/1,245.78
  6. Step 6: Final answer
    x = 1,002.82

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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.