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Finding the Fourth Proportional to 743.45, 1,025.70 and 448.61

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Solution

The fourth proportional to 743.45, 1,025.70 and 448.61 is: 618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.45 : 1,025.70 = 448.61 : x
  2. Step 2: Convert to fraction form
    743.45/1,025.70 = 448.61/x
  3. Step 3: Cross multiply
    743.45x = 1,025.70 × 448.61
  4. Step 4: Simplify right side
    743.45x = 460,139.28
  5. Step 5: Solve for x
    x = 460,139.28/743.45
  6. Step 6: Final answer
    x = 618.92

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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.