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Finding the Fourth Proportional to 1,173.18, 1,760.68 and 1,164.06

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Solution

The fourth proportional to 1,173.18, 1,760.68 and 1,164.06 is: 1,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.18 : 1,760.68 = 1,164.06 : x
  2. Step 2: Convert to fraction form
    1,173.18/1,760.68 = 1,164.06/x
  3. Step 3: Cross multiply
    1,173.18x = 1,760.68 × 1,164.06
  4. Step 4: Simplify right side
    1,173.18x = 2,049,537.16
  5. Step 5: Solve for x
    x = 2,049,537.16/1,173.18
  6. Step 6: Final answer
    x = 1,746.99

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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.