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Finding the Fourth Proportional to 1,039.35, 1,433.97 and 597.18

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Solution

The fourth proportional to 1,039.35, 1,433.97 and 597.18 is: 823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.35 : 1,433.97 = 597.18 : x
  2. Step 2: Convert to fraction form
    1,039.35/1,433.97 = 597.18/x
  3. Step 3: Cross multiply
    1,039.35x = 1,433.97 × 597.18
  4. Step 4: Simplify right side
    1,039.35x = 856,338.20
  5. Step 5: Solve for x
    x = 856,338.20/1,039.35
  6. Step 6: Final answer
    x = 823.92

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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.