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Finding the Fourth Proportional to 1,019.30, 1,527.72 and 369.27

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Solution

The fourth proportional to 1,019.30, 1,527.72 and 369.27 is: 553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.30 : 1,527.72 = 369.27 : x
  2. Step 2: Convert to fraction form
    1,019.30/1,527.72 = 369.27/x
  3. Step 3: Cross multiply
    1,019.30x = 1,527.72 × 369.27
  4. Step 4: Simplify right side
    1,019.30x = 564,141.16
  5. Step 5: Solve for x
    x = 564,141.16/1,019.30
  6. Step 6: Final answer
    x = 553.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.