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Finding the Fourth Proportional to 1,040.82, 1,436.31 and 598.71

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Solution

The fourth proportional to 1,040.82, 1,436.31 and 598.71 is: 826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.82 : 1,436.31 = 598.71 : x
  2. Step 2: Convert to fraction form
    1,040.82/1,436.31 = 598.71/x
  3. Step 3: Cross multiply
    1,040.82x = 1,436.31 × 598.71
  4. Step 4: Simplify right side
    1,040.82x = 859,933.16
  5. Step 5: Solve for x
    x = 859,933.16/1,040.82
  6. Step 6: Final answer
    x = 826.21

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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.