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Finding the Fourth Proportional to 695.71, 1,043.36 and 453.52

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Solution

The fourth proportional to 695.71, 1,043.36 and 453.52 is: 680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.71 : 1,043.36 = 453.52 : x
  2. Step 2: Convert to fraction form
    695.71/1,043.36 = 453.52/x
  3. Step 3: Cross multiply
    695.71x = 1,043.36 × 453.52
  4. Step 4: Simplify right side
    695.71x = 473,181.45
  5. Step 5: Solve for x
    x = 473,181.45/695.71
  6. Step 6: Final answer
    x = 680.14

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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.