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Finding the Fourth Proportional to 1,030.97, 1,539.99 and 681.41

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Solution

The fourth proportional to 1,030.97, 1,539.99 and 681.41 is: 1,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.97 : 1,539.99 = 681.41 : x
  2. Step 2: Convert to fraction form
    1,030.97/1,539.99 = 681.41/x
  3. Step 3: Cross multiply
    1,030.97x = 1,539.99 × 681.41
  4. Step 4: Simplify right side
    1,030.97x = 1,049,356.89
  5. Step 5: Solve for x
    x = 1,049,356.89/1,030.97
  6. Step 6: Final answer
    x = 1,017.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.