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Finding the Fourth Proportional to 1,150.17, 1,724.01 and 565.35

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Solution

The fourth proportional to 1,150.17, 1,724.01 and 565.35 is: 847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.17 : 1,724.01 = 565.35 : x
  2. Step 2: Convert to fraction form
    1,150.17/1,724.01 = 565.35/x
  3. Step 3: Cross multiply
    1,150.17x = 1,724.01 × 565.35
  4. Step 4: Simplify right side
    1,150.17x = 974,669.05
  5. Step 5: Solve for x
    x = 974,669.05/1,150.17
  6. Step 6: Final answer
    x = 847.41

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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.