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Finding the Fourth Proportional to 674.15, 1,009.60 and 457.07

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Solution

The fourth proportional to 674.15, 1,009.60 and 457.07 is: 684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.15 : 1,009.60 = 457.07 : x
  2. Step 2: Convert to fraction form
    674.15/1,009.60 = 457.07/x
  3. Step 3: Cross multiply
    674.15x = 1,009.60 × 457.07
  4. Step 4: Simplify right side
    674.15x = 461,457.87
  5. Step 5: Solve for x
    x = 461,457.87/674.15
  6. Step 6: Final answer
    x = 684.50

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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.