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Finding the Fourth Proportional to 1,546.44, 2,316.76 and 765.53

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Solution

The fourth proportional to 1,546.44, 2,316.76 and 765.53 is: 1,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.44 : 2,316.76 = 765.53 : x
  2. Step 2: Convert to fraction form
    1,546.44/2,316.76 = 765.53/x
  3. Step 3: Cross multiply
    1,546.44x = 2,316.76 × 765.53
  4. Step 4: Simplify right side
    1,546.44x = 1,773,549.28
  5. Step 5: Solve for x
    x = 1,773,549.28/1,546.44
  6. Step 6: Final answer
    x = 1,146.86

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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.