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Finding the Fourth Proportional to 1,059.91, 1,590.08 and 329.46

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Solution

The fourth proportional to 1,059.91, 1,590.08 and 329.46 is: 494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.91 : 1,590.08 = 329.46 : x
  2. Step 2: Convert to fraction form
    1,059.91/1,590.08 = 329.46/x
  3. Step 3: Cross multiply
    1,059.91x = 1,590.08 × 329.46
  4. Step 4: Simplify right side
    1,059.91x = 523,867.76
  5. Step 5: Solve for x
    x = 523,867.76/1,059.91
  6. Step 6: Final answer
    x = 494.26

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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.