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Finding the Fourth Proportional to 1,156.13, 1,734.06 and 290.44

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Solution

The fourth proportional to 1,156.13, 1,734.06 and 290.44 is: 435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.13 : 1,734.06 = 290.44 : x
  2. Step 2: Convert to fraction form
    1,156.13/1,734.06 = 290.44/x
  3. Step 3: Cross multiply
    1,156.13x = 1,734.06 × 290.44
  4. Step 4: Simplify right side
    1,156.13x = 503,636.05
  5. Step 5: Solve for x
    x = 503,636.05/1,156.13
  6. Step 6: Final answer
    x = 435.62

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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.