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Finding the Fourth Proportional to 1,019.38, 1,529.55 and 369.94

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Solution

The fourth proportional to 1,019.38, 1,529.55 and 369.94 is: 555.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.38 : 1,529.55 = 369.94 : x
  2. Step 2: Convert to fraction form
    1,019.38/1,529.55 = 369.94/x
  3. Step 3: Cross multiply
    1,019.38x = 1,529.55 × 369.94
  4. Step 4: Simplify right side
    1,019.38x = 565,841.73
  5. Step 5: Solve for x
    x = 565,841.73/1,019.38
  6. Step 6: Final answer
    x = 555.08

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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.