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Finding the Fourth Proportional to 743.61, 1,026.21 and 448.82

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Solution

The fourth proportional to 743.61, 1,026.21 and 448.82 is: 619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.61 : 1,026.21 = 448.82 : x
  2. Step 2: Convert to fraction form
    743.61/1,026.21 = 448.82/x
  3. Step 3: Cross multiply
    743.61x = 1,026.21 × 448.82
  4. Step 4: Simplify right side
    743.61x = 460,584.85
  5. Step 5: Solve for x
    x = 460,584.85/743.61
  6. Step 6: Final answer
    x = 619.39

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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.