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Finding the Fourth Proportional to 1,156.11, 1,734.15 and 290.42

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Solution

The fourth proportional to 1,156.11, 1,734.15 and 290.42 is: 435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.11 : 1,734.15 = 290.42 : x
  2. Step 2: Convert to fraction form
    1,156.11/1,734.15 = 290.42/x
  3. Step 3: Cross multiply
    1,156.11x = 1,734.15 × 290.42
  4. Step 4: Simplify right side
    1,156.11x = 503,631.84
  5. Step 5: Solve for x
    x = 503,631.84/1,156.11
  6. Step 6: Final answer
    x = 435.63

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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.