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Finding the Fourth Proportional to 746.66, 1,029.67 and 558.02

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Solution

The fourth proportional to 746.66, 1,029.67 and 558.02 is: 769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.66 : 1,029.67 = 558.02 : x
  2. Step 2: Convert to fraction form
    746.66/1,029.67 = 558.02/x
  3. Step 3: Cross multiply
    746.66x = 1,029.67 × 558.02
  4. Step 4: Simplify right side
    746.66x = 574,576.45
  5. Step 5: Solve for x
    x = 574,576.45/746.66
  6. Step 6: Final answer
    x = 769.53

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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.