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Finding the Fourth Proportional to 743.46, 1,025.31 and 603.54

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Solution

The fourth proportional to 743.46, 1,025.31 and 603.54 is: 832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.46 : 1,025.31 = 603.54 : x
  2. Step 2: Convert to fraction form
    743.46/1,025.31 = 603.54/x
  3. Step 3: Cross multiply
    743.46x = 1,025.31 × 603.54
  4. Step 4: Simplify right side
    743.46x = 618,815.60
  5. Step 5: Solve for x
    x = 618,815.60/743.46
  6. Step 6: Final answer
    x = 832.35

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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.