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Finding the Fourth Proportional to 746.25, 1,029.88 and 431.58

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Solution

The fourth proportional to 746.25, 1,029.88 and 431.58 is: 595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.25 : 1,029.88 = 431.58 : x
  2. Step 2: Convert to fraction form
    746.25/1,029.88 = 431.58/x
  3. Step 3: Cross multiply
    746.25x = 1,029.88 × 431.58
  4. Step 4: Simplify right side
    746.25x = 444,475.61
  5. Step 5: Solve for x
    x = 444,475.61/746.25
  6. Step 6: Final answer
    x = 595.61

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