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Finding the Fourth Proportional to 1,164.06, 1,744.83 and 615.69

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Solution

The fourth proportional to 1,164.06, 1,744.83 and 615.69 is: 922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.06 : 1,744.83 = 615.69 : x
  2. Step 2: Convert to fraction form
    1,164.06/1,744.83 = 615.69/x
  3. Step 3: Cross multiply
    1,164.06x = 1,744.83 × 615.69
  4. Step 4: Simplify right side
    1,164.06x = 1,074,274.38
  5. Step 5: Solve for x
    x = 1,074,274.38/1,164.06
  6. Step 6: Final answer
    x = 922.87

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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.