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Finding the Fourth Proportional to 1,159.37, 1,738.71 and 611.25

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Solution

The fourth proportional to 1,159.37, 1,738.71 and 611.25 is: 916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.37 : 1,738.71 = 611.25 : x
  2. Step 2: Convert to fraction form
    1,159.37/1,738.71 = 611.25/x
  3. Step 3: Cross multiply
    1,159.37x = 1,738.71 × 611.25
  4. Step 4: Simplify right side
    1,159.37x = 1,062,786.49
  5. Step 5: Solve for x
    x = 1,062,786.49/1,159.37
  6. Step 6: Final answer
    x = 916.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.