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Finding the Fourth Proportional to 1,146.55, 1,720.50 and 453.29

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Solution

The fourth proportional to 1,146.55, 1,720.50 and 453.29 is: 680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.55 : 1,720.50 = 453.29 : x
  2. Step 2: Convert to fraction form
    1,146.55/1,720.50 = 453.29/x
  3. Step 3: Cross multiply
    1,146.55x = 1,720.50 × 453.29
  4. Step 4: Simplify right side
    1,146.55x = 779,876.84
  5. Step 5: Solve for x
    x = 779,876.84/1,146.55
  6. Step 6: Final answer
    x = 680.20

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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.