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Finding the Fourth Proportional to 789.64, 1,189.04 and 585.66

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Solution

The fourth proportional to 789.64, 1,189.04 and 585.66 is: 881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.64 : 1,189.04 = 585.66 : x
  2. Step 2: Convert to fraction form
    789.64/1,189.04 = 585.66/x
  3. Step 3: Cross multiply
    789.64x = 1,189.04 × 585.66
  4. Step 4: Simplify right side
    789.64x = 696,373.17
  5. Step 5: Solve for x
    x = 696,373.17/789.64
  6. Step 6: Final answer
    x = 881.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.