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Finding the Fourth Proportional to 1,026.43, 1,539.63 and 256.93

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Solution

The fourth proportional to 1,026.43, 1,539.63 and 256.93 is: 385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.43 : 1,539.63 = 256.93 : x
  2. Step 2: Convert to fraction form
    1,026.43/1,539.63 = 256.93/x
  3. Step 3: Cross multiply
    1,026.43x = 1,539.63 × 256.93
  4. Step 4: Simplify right side
    1,026.43x = 395,577.14
  5. Step 5: Solve for x
    x = 395,577.14/1,026.43
  6. Step 6: Final answer
    x = 385.39

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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.