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Finding the Fourth Proportional to 1,159.34, 1,729.38 and 1,088.60

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Solution

The fourth proportional to 1,159.34, 1,729.38 and 1,088.60 is: 1,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.34 : 1,729.38 = 1,088.60 : x
  2. Step 2: Convert to fraction form
    1,159.34/1,729.38 = 1,088.60/x
  3. Step 3: Cross multiply
    1,159.34x = 1,729.38 × 1,088.60
  4. Step 4: Simplify right side
    1,159.34x = 1,882,608.37
  5. Step 5: Solve for x
    x = 1,882,608.37/1,159.34
  6. Step 6: Final answer
    x = 1,623.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.