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Finding the Fourth Proportional to 743.60, 1,025.73 and 463.88

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Solution

The fourth proportional to 743.60, 1,025.73 and 463.88 is: 639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.60 : 1,025.73 = 463.88 : x
  2. Step 2: Convert to fraction form
    743.60/1,025.73 = 463.88/x
  3. Step 3: Cross multiply
    743.60x = 1,025.73 × 463.88
  4. Step 4: Simplify right side
    743.60x = 475,815.63
  5. Step 5: Solve for x
    x = 475,815.63/743.60
  6. Step 6: Final answer
    x = 639.88

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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.