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Finding the Fourth Proportional to 1,359.50, 2,038.71 and 665.66

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Solution

The fourth proportional to 1,359.50, 2,038.71 and 665.66 is: 998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.50 : 2,038.71 = 665.66 : x
  2. Step 2: Convert to fraction form
    1,359.50/2,038.71 = 665.66/x
  3. Step 3: Cross multiply
    1,359.50x = 2,038.71 × 665.66
  4. Step 4: Simplify right side
    1,359.50x = 1,357,087.70
  5. Step 5: Solve for x
    x = 1,357,087.70/1,359.50
  6. Step 6: Final answer
    x = 998.23

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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.