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Finding the Fourth Proportional to 743.25, 1,025.72 and 448.62

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Solution

The fourth proportional to 743.25, 1,025.72 and 448.62 is: 619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.25 : 1,025.72 = 448.62 : x
  2. Step 2: Convert to fraction form
    743.25/1,025.72 = 448.62/x
  3. Step 3: Cross multiply
    743.25x = 1,025.72 × 448.62
  4. Step 4: Simplify right side
    743.25x = 460,158.51
  5. Step 5: Solve for x
    x = 460,158.51/743.25
  6. Step 6: Final answer
    x = 619.12

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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.