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Finding the Fourth Proportional to 1,027.64, 1,538.72 and 539.68

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Solution

The fourth proportional to 1,027.64, 1,538.72 and 539.68 is: 808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.64 : 1,538.72 = 539.68 : x
  2. Step 2: Convert to fraction form
    1,027.64/1,538.72 = 539.68/x
  3. Step 3: Cross multiply
    1,027.64x = 1,538.72 × 539.68
  4. Step 4: Simplify right side
    1,027.64x = 830,416.41
  5. Step 5: Solve for x
    x = 830,416.41/1,027.64
  6. Step 6: Final answer
    x = 808.08

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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.