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Finding the Fourth Proportional to 1,724.72, 2,587.02 and 570.46

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Solution

The fourth proportional to 1,724.72, 2,587.02 and 570.46 is: 855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.72 : 2,587.02 = 570.46 : x
  2. Step 2: Convert to fraction form
    1,724.72/2,587.02 = 570.46/x
  3. Step 3: Cross multiply
    1,724.72x = 2,587.02 × 570.46
  4. Step 4: Simplify right side
    1,724.72x = 1,475,791.43
  5. Step 5: Solve for x
    x = 1,475,791.43/1,724.72
  6. Step 6: Final answer
    x = 855.67

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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.