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Finding the Fourth Proportional to 1,069.95, 1,605.09 and 339.47

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Solution

The fourth proportional to 1,069.95, 1,605.09 and 339.47 is: 509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.95 : 1,605.09 = 339.47 : x
  2. Step 2: Convert to fraction form
    1,069.95/1,605.09 = 339.47/x
  3. Step 3: Cross multiply
    1,069.95x = 1,605.09 × 339.47
  4. Step 4: Simplify right side
    1,069.95x = 544,879.90
  5. Step 5: Solve for x
    x = 544,879.90/1,069.95
  6. Step 6: Final answer
    x = 509.26

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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.