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Finding the Fourth Proportional to 1,039.83, 1,434.96 and 597.87

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Solution

The fourth proportional to 1,039.83, 1,434.96 and 597.87 is: 825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.83 : 1,434.96 = 597.87 : x
  2. Step 2: Convert to fraction form
    1,039.83/1,434.96 = 597.87/x
  3. Step 3: Cross multiply
    1,039.83x = 1,434.96 × 597.87
  4. Step 4: Simplify right side
    1,039.83x = 857,919.54
  5. Step 5: Solve for x
    x = 857,919.54/1,039.83
  6. Step 6: Final answer
    x = 825.06

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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.