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Finding the Fourth Proportional to 1,070.38, 1,605.56 and 329.99

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Solution

The fourth proportional to 1,070.38, 1,605.56 and 329.99 is: 494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.38 : 1,605.56 = 329.99 : x
  2. Step 2: Convert to fraction form
    1,070.38/1,605.56 = 329.99/x
  3. Step 3: Cross multiply
    1,070.38x = 1,605.56 × 329.99
  4. Step 4: Simplify right side
    1,070.38x = 529,809.07
  5. Step 5: Solve for x
    x = 529,809.07/1,070.38
  6. Step 6: Final answer
    x = 494.97

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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.