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Finding the Fourth Proportional to 1,170.53, 1,755.64 and 440.02

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Solution

The fourth proportional to 1,170.53, 1,755.64 and 440.02 is: 659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.53 : 1,755.64 = 440.02 : x
  2. Step 2: Convert to fraction form
    1,170.53/1,755.64 = 440.02/x
  3. Step 3: Cross multiply
    1,170.53x = 1,755.64 × 440.02
  4. Step 4: Simplify right side
    1,170.53x = 772,509.58
  5. Step 5: Solve for x
    x = 772,509.58/1,170.53
  6. Step 6: Final answer
    x = 659.96

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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.