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Finding the Fourth Proportional to 1,019, 1,527.73 and 402.38

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Solution

The fourth proportional to 1,019, 1,527.73 and 402.38 is: 603.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019 : 1,527.73 = 402.38 : x
  2. Step 2: Convert to fraction form
    1,019/1,527.73 = 402.38/x
  3. Step 3: Cross multiply
    1,019x = 1,527.73 × 402.38
  4. Step 4: Simplify right side
    1,019x = 614,728.00
  5. Step 5: Solve for x
    x = 614,728.00/1,019
  6. Step 6: Final answer
    x = 603.27

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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.