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Finding the Fourth Proportional to 905.64, 1,250.07 and 590.35

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Solution

The fourth proportional to 905.64, 1,250.07 and 590.35 is: 814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.64 : 1,250.07 = 590.35 : x
  2. Step 2: Convert to fraction form
    905.64/1,250.07 = 590.35/x
  3. Step 3: Cross multiply
    905.64x = 1,250.07 × 590.35
  4. Step 4: Simplify right side
    905.64x = 737,978.82
  5. Step 5: Solve for x
    x = 737,978.82/905.64
  6. Step 6: Final answer
    x = 814.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.