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Finding the Fourth Proportional to 1,164.77, 1,744.16 and 615.72

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Solution

The fourth proportional to 1,164.77, 1,744.16 and 615.72 is: 922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.77 : 1,744.16 = 615.72 : x
  2. Step 2: Convert to fraction form
    1,164.77/1,744.16 = 615.72/x
  3. Step 3: Cross multiply
    1,164.77x = 1,744.16 × 615.72
  4. Step 4: Simplify right side
    1,164.77x = 1,073,911.12
  5. Step 5: Solve for x
    x = 1,073,911.12/1,164.77
  6. Step 6: Final answer
    x = 922.00

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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.