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Finding the Fourth Proportional to 746.12, 1,029.70 and 431.45

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Solution

The fourth proportional to 746.12, 1,029.70 and 431.45 is: 595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.12 : 1,029.70 = 431.45 : x
  2. Step 2: Convert to fraction form
    746.12/1,029.70 = 431.45/x
  3. Step 3: Cross multiply
    746.12x = 1,029.70 × 431.45
  4. Step 4: Simplify right side
    746.12x = 444,263.32
  5. Step 5: Solve for x
    x = 444,263.32/746.12
  6. Step 6: Final answer
    x = 595.43

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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.