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Finding the Fourth Proportional to 674.76, 1,012.34 and 290.04

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Solution

The fourth proportional to 674.76, 1,012.34 and 290.04 is: 435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.76 : 1,012.34 = 290.04 : x
  2. Step 2: Convert to fraction form
    674.76/1,012.34 = 290.04/x
  3. Step 3: Cross multiply
    674.76x = 1,012.34 × 290.04
  4. Step 4: Simplify right side
    674.76x = 293,619.09
  5. Step 5: Solve for x
    x = 293,619.09/674.76
  6. Step 6: Final answer
    x = 435.15

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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.