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Finding the Fourth Proportional to 1,170.30, 1,754.73 and 400.86

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Solution

The fourth proportional to 1,170.30, 1,754.73 and 400.86 is: 601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.30 : 1,754.73 = 400.86 : x
  2. Step 2: Convert to fraction form
    1,170.30/1,754.73 = 400.86/x
  3. Step 3: Cross multiply
    1,170.30x = 1,754.73 × 400.86
  4. Step 4: Simplify right side
    1,170.30x = 703,401.07
  5. Step 5: Solve for x
    x = 703,401.07/1,170.30
  6. Step 6: Final answer
    x = 601.04

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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.