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Finding the Fourth Proportional to 1,153.06, 1,591.23 and 687.31

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Solution

The fourth proportional to 1,153.06, 1,591.23 and 687.31 is: 948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.06 : 1,591.23 = 687.31 : x
  2. Step 2: Convert to fraction form
    1,153.06/1,591.23 = 687.31/x
  3. Step 3: Cross multiply
    1,153.06x = 1,591.23 × 687.31
  4. Step 4: Simplify right side
    1,153.06x = 1,093,670.55
  5. Step 5: Solve for x
    x = 1,093,670.55/1,153.06
  6. Step 6: Final answer
    x = 948.49

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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.