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Finding the Fourth Proportional to 1,165.05, 1,748.66 and 617.63

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Solution

The fourth proportional to 1,165.05, 1,748.66 and 617.63 is: 927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.05 : 1,748.66 = 617.63 : x
  2. Step 2: Convert to fraction form
    1,165.05/1,748.66 = 617.63/x
  3. Step 3: Cross multiply
    1,165.05x = 1,748.66 × 617.63
  4. Step 4: Simplify right side
    1,165.05x = 1,080,013.04
  5. Step 5: Solve for x
    x = 1,080,013.04/1,165.05
  6. Step 6: Final answer
    x = 927.01

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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.