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Finding the Fourth Proportional to 1,489.64, 2,233.82 and 577

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Solution

The fourth proportional to 1,489.64, 2,233.82 and 577 is: 865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.64 : 2,233.82 = 577 : x
  2. Step 2: Convert to fraction form
    1,489.64/2,233.82 = 577/x
  3. Step 3: Cross multiply
    1,489.64x = 2,233.82 × 577
  4. Step 4: Simplify right side
    1,489.64x = 1,288,914.14
  5. Step 5: Solve for x
    x = 1,288,914.14/1,489.64
  6. Step 6: Final answer
    x = 865.25

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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.