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Finding the Fourth Proportional to 1,011.71, 1,516.59 and 395.21

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Solution

The fourth proportional to 1,011.71, 1,516.59 and 395.21 is: 592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.71 : 1,516.59 = 395.21 : x
  2. Step 2: Convert to fraction form
    1,011.71/1,516.59 = 395.21/x
  3. Step 3: Cross multiply
    1,011.71x = 1,516.59 × 395.21
  4. Step 4: Simplify right side
    1,011.71x = 599,363.95
  5. Step 5: Solve for x
    x = 599,363.95/1,011.71
  6. Step 6: Final answer
    x = 592.43

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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.