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Finding the Fourth Proportional to 1,073.45, 1,618.23 and 1,002.98

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Solution

The fourth proportional to 1,073.45, 1,618.23 and 1,002.98 is: 1,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.45 : 1,618.23 = 1,002.98 : x
  2. Step 2: Convert to fraction form
    1,073.45/1,618.23 = 1,002.98/x
  3. Step 3: Cross multiply
    1,073.45x = 1,618.23 × 1,002.98
  4. Step 4: Simplify right side
    1,073.45x = 1,623,054.49
  5. Step 5: Solve for x
    x = 1,623,054.49/1,073.45
  6. Step 6: Final answer
    x = 1,511.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.