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Finding the Fourth Proportional to 1,132.45, 1,563.51 and 986.65

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Solution

The fourth proportional to 1,132.45, 1,563.51 and 986.65 is: 1,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.45 : 1,563.51 = 986.65 : x
  2. Step 2: Convert to fraction form
    1,132.45/1,563.51 = 986.65/x
  3. Step 3: Cross multiply
    1,132.45x = 1,563.51 × 986.65
  4. Step 4: Simplify right side
    1,132.45x = 1,542,637.14
  5. Step 5: Solve for x
    x = 1,542,637.14/1,132.45
  6. Step 6: Final answer
    x = 1,362.21

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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.