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Finding the Fourth Proportional to 744.78, 1,117.32 and 282.55

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Solution

The fourth proportional to 744.78, 1,117.32 and 282.55 is: 423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.78 : 1,117.32 = 282.55 : x
  2. Step 2: Convert to fraction form
    744.78/1,117.32 = 282.55/x
  3. Step 3: Cross multiply
    744.78x = 1,117.32 × 282.55
  4. Step 4: Simplify right side
    744.78x = 315,698.77
  5. Step 5: Solve for x
    x = 315,698.77/744.78
  6. Step 6: Final answer
    x = 423.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.