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Finding the Fourth Proportional to 1,023.09, 1,535.06 and 329.86

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Solution

The fourth proportional to 1,023.09, 1,535.06 and 329.86 is: 494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.09 : 1,535.06 = 329.86 : x
  2. Step 2: Convert to fraction form
    1,023.09/1,535.06 = 329.86/x
  3. Step 3: Cross multiply
    1,023.09x = 1,535.06 × 329.86
  4. Step 4: Simplify right side
    1,023.09x = 506,354.89
  5. Step 5: Solve for x
    x = 506,354.89/1,023.09
  6. Step 6: Final answer
    x = 494.93

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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.