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Finding the Fourth Proportional to 1,156.56, 1,734.85 and 290.88

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Solution

The fourth proportional to 1,156.56, 1,734.85 and 290.88 is: 436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.56 : 1,734.85 = 290.88 : x
  2. Step 2: Convert to fraction form
    1,156.56/1,734.85 = 290.88/x
  3. Step 3: Cross multiply
    1,156.56x = 1,734.85 × 290.88
  4. Step 4: Simplify right side
    1,156.56x = 504,623.04
  5. Step 5: Solve for x
    x = 504,623.04/1,156.56
  6. Step 6: Final answer
    x = 436.31

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Why These Related Problems?

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