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Finding the Fourth Proportional to 1,018.29, 1,527.43 and 315.51

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Solution

The fourth proportional to 1,018.29, 1,527.43 and 315.51 is: 473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.29 : 1,527.43 = 315.51 : x
  2. Step 2: Convert to fraction form
    1,018.29/1,527.43 = 315.51/x
  3. Step 3: Cross multiply
    1,018.29x = 1,527.43 × 315.51
  4. Step 4: Simplify right side
    1,018.29x = 481,919.44
  5. Step 5: Solve for x
    x = 481,919.44/1,018.29
  6. Step 6: Final answer
    x = 473.26

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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.