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Finding the Fourth Proportional to 1,019.69, 1,529.52 and 370.41

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Solution

The fourth proportional to 1,019.69, 1,529.52 and 370.41 is: 555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.69 : 1,529.52 = 370.41 : x
  2. Step 2: Convert to fraction form
    1,019.69/1,529.52 = 370.41/x
  3. Step 3: Cross multiply
    1,019.69x = 1,529.52 × 370.41
  4. Step 4: Simplify right side
    1,019.69x = 566,542.38
  5. Step 5: Solve for x
    x = 566,542.38/1,019.69
  6. Step 6: Final answer
    x = 555.60

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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.