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Finding the Fourth Proportional to 1,011.71, 1,517.58 and 665.03

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Solution

The fourth proportional to 1,011.71, 1,517.58 and 665.03 is: 997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.71 : 1,517.58 = 665.03 : x
  2. Step 2: Convert to fraction form
    1,011.71/1,517.58 = 665.03/x
  3. Step 3: Cross multiply
    1,011.71x = 1,517.58 × 665.03
  4. Step 4: Simplify right side
    1,011.71x = 1,009,240.02
  5. Step 5: Solve for x
    x = 1,009,240.02/1,011.71
  6. Step 6: Final answer
    x = 997.56

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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.