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Finding the Fourth Proportional to 1,146.90, 1,720.55 and 453.21

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Solution

The fourth proportional to 1,146.90, 1,720.55 and 453.21 is: 679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.90 : 1,720.55 = 453.21 : x
  2. Step 2: Convert to fraction form
    1,146.90/1,720.55 = 453.21/x
  3. Step 3: Cross multiply
    1,146.90x = 1,720.55 × 453.21
  4. Step 4: Simplify right side
    1,146.90x = 779,770.47
  5. Step 5: Solve for x
    x = 779,770.47/1,146.90
  6. Step 6: Final answer
    x = 679.89

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