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Finding the Fourth Proportional to 1,159.33, 1,739.28 and 337.66

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Solution

The fourth proportional to 1,159.33, 1,739.28 and 337.66 is: 506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.33 : 1,739.28 = 337.66 : x
  2. Step 2: Convert to fraction form
    1,159.33/1,739.28 = 337.66/x
  3. Step 3: Cross multiply
    1,159.33x = 1,739.28 × 337.66
  4. Step 4: Simplify right side
    1,159.33x = 587,285.28
  5. Step 5: Solve for x
    x = 587,285.28/1,159.33
  6. Step 6: Final answer
    x = 506.57

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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.