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Finding the Fourth Proportional to 1,159.58, 1,738.95 and 337.63

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Solution

The fourth proportional to 1,159.58, 1,738.95 and 337.63 is: 506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.58 : 1,738.95 = 337.63 : x
  2. Step 2: Convert to fraction form
    1,159.58/1,738.95 = 337.63/x
  3. Step 3: Cross multiply
    1,159.58x = 1,738.95 × 337.63
  4. Step 4: Simplify right side
    1,159.58x = 587,121.69
  5. Step 5: Solve for x
    x = 587,121.69/1,159.58
  6. Step 6: Final answer
    x = 506.32

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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.