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Finding the Fourth Proportional to 1,069.50, 1,604.00 and 338.93

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Solution

The fourth proportional to 1,069.50, 1,604.00 and 338.93 is: 508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.50 : 1,604.00 = 338.93 : x
  2. Step 2: Convert to fraction form
    1,069.50/1,604.00 = 338.93/x
  3. Step 3: Cross multiply
    1,069.50x = 1,604.00 × 338.93
  4. Step 4: Simplify right side
    1,069.50x = 543,651.58
  5. Step 5: Solve for x
    x = 543,651.58/1,069.50
  6. Step 6: Final answer
    x = 508.32

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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.