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Finding the Fourth Proportional to 1,027.29, 1,539.73 and 478.30

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Solution

The fourth proportional to 1,027.29, 1,539.73 and 478.30 is: 716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.29 : 1,539.73 = 478.30 : x
  2. Step 2: Convert to fraction form
    1,027.29/1,539.73 = 478.30/x
  3. Step 3: Cross multiply
    1,027.29x = 1,539.73 × 478.30
  4. Step 4: Simplify right side
    1,027.29x = 736,452.86
  5. Step 5: Solve for x
    x = 736,452.86/1,027.29
  6. Step 6: Final answer
    x = 716.89

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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.