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Finding the Fourth Proportional to 746.05, 1,029.57 and 484.06

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Solution

The fourth proportional to 746.05, 1,029.57 and 484.06 is: 668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.05 : 1,029.57 = 484.06 : x
  2. Step 2: Convert to fraction form
    746.05/1,029.57 = 484.06/x
  3. Step 3: Cross multiply
    746.05x = 1,029.57 × 484.06
  4. Step 4: Simplify right side
    746.05x = 498,373.65
  5. Step 5: Solve for x
    x = 498,373.65/746.05
  6. Step 6: Final answer
    x = 668.02

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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.