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Finding the Fourth Proportional to 1,156.28, 1,730.20 and 995.88

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Solution

The fourth proportional to 1,156.28, 1,730.20 and 995.88 is: 1,490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.28 : 1,730.20 = 995.88 : x
  2. Step 2: Convert to fraction form
    1,156.28/1,730.20 = 995.88/x
  3. Step 3: Cross multiply
    1,156.28x = 1,730.20 × 995.88
  4. Step 4: Simplify right side
    1,156.28x = 1,723,071.58
  5. Step 5: Solve for x
    x = 1,723,071.58/1,156.28
  6. Step 6: Final answer
    x = 1,490.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.