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Finding the Fourth Proportional to 1,749.66, 2,622.94 and 653.28

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Solution

The fourth proportional to 1,749.66, 2,622.94 and 653.28 is: 979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.66 : 2,622.94 = 653.28 : x
  2. Step 2: Convert to fraction form
    1,749.66/2,622.94 = 653.28/x
  3. Step 3: Cross multiply
    1,749.66x = 2,622.94 × 653.28
  4. Step 4: Simplify right side
    1,749.66x = 1,713,514.24
  5. Step 5: Solve for x
    x = 1,713,514.24/1,749.66
  6. Step 6: Final answer
    x = 979.34

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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.