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Finding the Fourth Proportional to 743.79, 1,026.24 and 464.16

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Solution

The fourth proportional to 743.79, 1,026.24 and 464.16 is: 640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.79 : 1,026.24 = 464.16 : x
  2. Step 2: Convert to fraction form
    743.79/1,026.24 = 464.16/x
  3. Step 3: Cross multiply
    743.79x = 1,026.24 × 464.16
  4. Step 4: Simplify right side
    743.79x = 476,343.86
  5. Step 5: Solve for x
    x = 476,343.86/743.79
  6. Step 6: Final answer
    x = 640.43

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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.