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Finding the Fourth Proportional to 680.04, 1,021.14 and 648.06

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Solution

The fourth proportional to 680.04, 1,021.14 and 648.06 is: 973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.04 : 1,021.14 = 648.06 : x
  2. Step 2: Convert to fraction form
    680.04/1,021.14 = 648.06/x
  3. Step 3: Cross multiply
    680.04x = 1,021.14 × 648.06
  4. Step 4: Simplify right side
    680.04x = 661,759.99
  5. Step 5: Solve for x
    x = 661,759.99/680.04
  6. Step 6: Final answer
    x = 973.12

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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.