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Finding the Fourth Proportional to 746.35, 1,029.00 and 546.55

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Solution

The fourth proportional to 746.35, 1,029.00 and 546.55 is: 753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.35 : 1,029.00 = 546.55 : x
  2. Step 2: Convert to fraction form
    746.35/1,029.00 = 546.55/x
  3. Step 3: Cross multiply
    746.35x = 1,029.00 × 546.55
  4. Step 4: Simplify right side
    746.35x = 562,399.43
  5. Step 5: Solve for x
    x = 562,399.43/746.35
  6. Step 6: Final answer
    x = 753.54

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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.