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Finding the Fourth Proportional to 1,459.30, 2,012.59 and 987.07

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Solution

The fourth proportional to 1,459.30, 2,012.59 and 987.07 is: 1,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.30 : 2,012.59 = 987.07 : x
  2. Step 2: Convert to fraction form
    1,459.30/2,012.59 = 987.07/x
  3. Step 3: Cross multiply
    1,459.30x = 2,012.59 × 987.07
  4. Step 4: Simplify right side
    1,459.30x = 1,986,559.71
  5. Step 5: Solve for x
    x = 1,986,559.71/1,459.30
  6. Step 6: Final answer
    x = 1,361.31

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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.