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Finding the Fourth Proportional to 1,156.66, 1,735.31 and 335.01

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Solution

The fourth proportional to 1,156.66, 1,735.31 and 335.01 is: 502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.66 : 1,735.31 = 335.01 : x
  2. Step 2: Convert to fraction form
    1,156.66/1,735.31 = 335.01/x
  3. Step 3: Cross multiply
    1,156.66x = 1,735.31 × 335.01
  4. Step 4: Simplify right side
    1,156.66x = 581,346.20
  5. Step 5: Solve for x
    x = 581,346.20/1,156.66
  6. Step 6: Final answer
    x = 502.61

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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.