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Finding the Fourth Proportional to 1,159.75, 1,738.95 and 611.80

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Solution

The fourth proportional to 1,159.75, 1,738.95 and 611.80 is: 917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.75 : 1,738.95 = 611.80 : x
  2. Step 2: Convert to fraction form
    1,159.75/1,738.95 = 611.80/x
  3. Step 3: Cross multiply
    1,159.75x = 1,738.95 × 611.80
  4. Step 4: Simplify right side
    1,159.75x = 1,063,889.61
  5. Step 5: Solve for x
    x = 1,063,889.61/1,159.75
  6. Step 6: Final answer
    x = 917.34

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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.