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Finding the Fourth Proportional to 1,110.44, 1,661.58 and 670.12

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Solution

The fourth proportional to 1,110.44, 1,661.58 and 670.12 is: 1,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.44 : 1,661.58 = 670.12 : x
  2. Step 2: Convert to fraction form
    1,110.44/1,661.58 = 670.12/x
  3. Step 3: Cross multiply
    1,110.44x = 1,661.58 × 670.12
  4. Step 4: Simplify right side
    1,110.44x = 1,113,457.99
  5. Step 5: Solve for x
    x = 1,113,457.99/1,110.44
  6. Step 6: Final answer
    x = 1,002.72

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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.