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Finding the Fourth Proportional to 744.64, 1,116.80 and 257.83

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Solution

The fourth proportional to 744.64, 1,116.80 and 257.83 is: 386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.64 : 1,116.80 = 257.83 : x
  2. Step 2: Convert to fraction form
    744.64/1,116.80 = 257.83/x
  3. Step 3: Cross multiply
    744.64x = 1,116.80 × 257.83
  4. Step 4: Simplify right side
    744.64x = 287,938.96
  5. Step 5: Solve for x
    x = 287,938.96/744.64
  6. Step 6: Final answer
    x = 386.68

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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.