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Finding the Fourth Proportional to 1,020.71, 1,529.71 and 370.82

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Solution

The fourth proportional to 1,020.71, 1,529.71 and 370.82 is: 555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.71 : 1,529.71 = 370.82 : x
  2. Step 2: Convert to fraction form
    1,020.71/1,529.71 = 370.82/x
  3. Step 3: Cross multiply
    1,020.71x = 1,529.71 × 370.82
  4. Step 4: Simplify right side
    1,020.71x = 567,238.49
  5. Step 5: Solve for x
    x = 567,238.49/1,020.71
  6. Step 6: Final answer
    x = 555.73

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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.