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Finding the Fourth Proportional to 743.04, 1,025.46 and 632.88

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Solution

The fourth proportional to 743.04, 1,025.46 and 632.88 is: 873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.04 : 1,025.46 = 632.88 : x
  2. Step 2: Convert to fraction form
    743.04/1,025.46 = 632.88/x
  3. Step 3: Cross multiply
    743.04x = 1,025.46 × 632.88
  4. Step 4: Simplify right side
    743.04x = 648,993.12
  5. Step 5: Solve for x
    x = 648,993.12/743.04
  6. Step 6: Final answer
    x = 873.43

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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.