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Finding the Fourth Proportional to 1,590.15, 2,383.84 and 767.29

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Solution

The fourth proportional to 1,590.15, 2,383.84 and 767.29 is: 1,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.15 : 2,383.84 = 767.29 : x
  2. Step 2: Convert to fraction form
    1,590.15/2,383.84 = 767.29/x
  3. Step 3: Cross multiply
    1,590.15x = 2,383.84 × 767.29
  4. Step 4: Simplify right side
    1,590.15x = 1,829,096.59
  5. Step 5: Solve for x
    x = 1,829,096.59/1,590.15
  6. Step 6: Final answer
    x = 1,150.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.