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Finding the Fourth Proportional to 1,150.56, 1,724.49 and 565.83

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Solution

The fourth proportional to 1,150.56, 1,724.49 and 565.83 is: 848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.56 : 1,724.49 = 565.83 : x
  2. Step 2: Convert to fraction form
    1,150.56/1,724.49 = 565.83/x
  3. Step 3: Cross multiply
    1,150.56x = 1,724.49 × 565.83
  4. Step 4: Simplify right side
    1,150.56x = 975,768.18
  5. Step 5: Solve for x
    x = 975,768.18/1,150.56
  6. Step 6: Final answer
    x = 848.08

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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.