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Finding the Fourth Proportional to 1,156.98, 1,735.42 and 335.24

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Solution

The fourth proportional to 1,156.98, 1,735.42 and 335.24 is: 502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.98 : 1,735.42 = 335.24 : x
  2. Step 2: Convert to fraction form
    1,156.98/1,735.42 = 335.24/x
  3. Step 3: Cross multiply
    1,156.98x = 1,735.42 × 335.24
  4. Step 4: Simplify right side
    1,156.98x = 581,782.20
  5. Step 5: Solve for x
    x = 581,782.20/1,156.98
  6. Step 6: Final answer
    x = 502.85

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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.