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Finding the Fourth Proportional to 1,026.64, 1,539.92 and 257.12

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Solution

The fourth proportional to 1,026.64, 1,539.92 and 257.12 is: 385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.64 : 1,539.92 = 257.12 : x
  2. Step 2: Convert to fraction form
    1,026.64/1,539.92 = 257.12/x
  3. Step 3: Cross multiply
    1,026.64x = 1,539.92 × 257.12
  4. Step 4: Simplify right side
    1,026.64x = 395,944.23
  5. Step 5: Solve for x
    x = 395,944.23/1,026.64
  6. Step 6: Final answer
    x = 385.67

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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.