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Finding the Fourth Proportional to 674.65, 1,010.35 and 457.57

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Solution

The fourth proportional to 674.65, 1,010.35 and 457.57 is: 685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.65 : 1,010.35 = 457.57 : x
  2. Step 2: Convert to fraction form
    674.65/1,010.35 = 457.57/x
  3. Step 3: Cross multiply
    674.65x = 1,010.35 × 457.57
  4. Step 4: Simplify right side
    674.65x = 462,305.85
  5. Step 5: Solve for x
    x = 462,305.85/674.65
  6. Step 6: Final answer
    x = 685.25

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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.