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Finding the Fourth Proportional to 746.20, 1,029.95 and 466.26

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Solution

The fourth proportional to 746.20, 1,029.95 and 466.26 is: 643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.20 : 1,029.95 = 466.26 : x
  2. Step 2: Convert to fraction form
    746.20/1,029.95 = 466.26/x
  3. Step 3: Cross multiply
    746.20x = 1,029.95 × 466.26
  4. Step 4: Simplify right side
    746.20x = 480,225.65
  5. Step 5: Solve for x
    x = 480,225.65/746.20
  6. Step 6: Final answer
    x = 643.56

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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.