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Finding the Fourth Proportional to 743.11, 1,024.97 and 463.51

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Solution

The fourth proportional to 743.11, 1,024.97 and 463.51 is: 639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.11 : 1,024.97 = 463.51 : x
  2. Step 2: Convert to fraction form
    743.11/1,024.97 = 463.51/x
  3. Step 3: Cross multiply
    743.11x = 1,024.97 × 463.51
  4. Step 4: Simplify right side
    743.11x = 475,083.84
  5. Step 5: Solve for x
    x = 475,083.84/743.11
  6. Step 6: Final answer
    x = 639.32

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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.