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Finding the Fourth Proportional to 1,156.89, 1,735.59 and 335.20

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Solution

The fourth proportional to 1,156.89, 1,735.59 and 335.20 is: 502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.89 : 1,735.59 = 335.20 : x
  2. Step 2: Convert to fraction form
    1,156.89/1,735.59 = 335.20/x
  3. Step 3: Cross multiply
    1,156.89x = 1,735.59 × 335.20
  4. Step 4: Simplify right side
    1,156.89x = 581,765.43
  5. Step 5: Solve for x
    x = 581,765.43/1,156.89
  6. Step 6: Final answer
    x = 502.87

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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.