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Finding the Fourth Proportional to 744.32, 1,026.75 and 464.45

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Solution

The fourth proportional to 744.32, 1,026.75 and 464.45 is: 640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.32 : 1,026.75 = 464.45 : x
  2. Step 2: Convert to fraction form
    744.32/1,026.75 = 464.45/x
  3. Step 3: Cross multiply
    744.32x = 1,026.75 × 464.45
  4. Step 4: Simplify right side
    744.32x = 476,874.04
  5. Step 5: Solve for x
    x = 476,874.04/744.32
  6. Step 6: Final answer
    x = 640.68

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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.