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Finding the Fourth Proportional to 785.64, 1,175.66 and 684.02

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Solution

The fourth proportional to 785.64, 1,175.66 and 684.02 is: 1,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.64 : 1,175.66 = 684.02 : x
  2. Step 2: Convert to fraction form
    785.64/1,175.66 = 684.02/x
  3. Step 3: Cross multiply
    785.64x = 1,175.66 × 684.02
  4. Step 4: Simplify right side
    785.64x = 804,174.95
  5. Step 5: Solve for x
    x = 804,174.95/785.64
  6. Step 6: Final answer
    x = 1,023.59

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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.