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Finding the Fourth Proportional to 1,158.52, 1,728.77 and 1,130.72

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Solution

The fourth proportional to 1,158.52, 1,728.77 and 1,130.72 is: 1,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.52 : 1,728.77 = 1,130.72 : x
  2. Step 2: Convert to fraction form
    1,158.52/1,728.77 = 1,130.72/x
  3. Step 3: Cross multiply
    1,158.52x = 1,728.77 × 1,130.72
  4. Step 4: Simplify right side
    1,158.52x = 1,954,754.81
  5. Step 5: Solve for x
    x = 1,954,754.81/1,158.52
  6. Step 6: Final answer
    x = 1,687.29

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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.