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Finding the Fourth Proportional to 768.03, 1,059.41 and 670.02

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Solution

The fourth proportional to 768.03, 1,059.41 and 670.02 is: 924.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.03 : 1,059.41 = 670.02 : x
  2. Step 2: Convert to fraction form
    768.03/1,059.41 = 670.02/x
  3. Step 3: Cross multiply
    768.03x = 1,059.41 × 670.02
  4. Step 4: Simplify right side
    768.03x = 709,822.54
  5. Step 5: Solve for x
    x = 709,822.54/768.03
  6. Step 6: Final answer
    x = 924.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.