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Finding the Fourth Proportional to 674.13, 1,009.59 and 380.91

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Solution

The fourth proportional to 674.13, 1,009.59 and 380.91 is: 570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.13 : 1,009.59 = 380.91 : x
  2. Step 2: Convert to fraction form
    674.13/1,009.59 = 380.91/x
  3. Step 3: Cross multiply
    674.13x = 1,009.59 × 380.91
  4. Step 4: Simplify right side
    674.13x = 384,562.93
  5. Step 5: Solve for x
    x = 384,562.93/674.13
  6. Step 6: Final answer
    x = 570.46

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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.