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Finding the Fourth Proportional to 744.30, 1,026.78 and 482.40

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Solution

The fourth proportional to 744.30, 1,026.78 and 482.40 is: 665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.30 : 1,026.78 = 482.40 : x
  2. Step 2: Convert to fraction form
    744.30/1,026.78 = 482.40/x
  3. Step 3: Cross multiply
    744.30x = 1,026.78 × 482.40
  4. Step 4: Simplify right side
    744.30x = 495,318.67
  5. Step 5: Solve for x
    x = 495,318.67/744.30
  6. Step 6: Final answer
    x = 665.48

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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.