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Finding the Fourth Proportional to 743.38, 1,026.33 and 464.02

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Solution

The fourth proportional to 743.38, 1,026.33 and 464.02 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.38 : 1,026.33 = 464.02 : x
  2. Step 2: Convert to fraction form
    743.38/1,026.33 = 464.02/x
  3. Step 3: Cross multiply
    743.38x = 1,026.33 × 464.02
  4. Step 4: Simplify right side
    743.38x = 476,237.65
  5. Step 5: Solve for x
    x = 476,237.65/743.38
  6. Step 6: Final answer
    x = 640.64

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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.