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Finding the Fourth Proportional to 674.59, 1,010.26 and 457.51

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Solution

The fourth proportional to 674.59, 1,010.26 and 457.51 is: 685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.59 : 1,010.26 = 457.51 : x
  2. Step 2: Convert to fraction form
    674.59/1,010.26 = 457.51/x
  3. Step 3: Cross multiply
    674.59x = 1,010.26 × 457.51
  4. Step 4: Simplify right side
    674.59x = 462,204.05
  5. Step 5: Solve for x
    x = 462,204.05/674.59
  6. Step 6: Final answer
    x = 685.16

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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.