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Finding the Fourth Proportional to 1,026.54, 1,539.80 and 257.04

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Solution

The fourth proportional to 1,026.54, 1,539.80 and 257.04 is: 385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.54 : 1,539.80 = 257.04 : x
  2. Step 2: Convert to fraction form
    1,026.54/1,539.80 = 257.04/x
  3. Step 3: Cross multiply
    1,026.54x = 1,539.80 × 257.04
  4. Step 4: Simplify right side
    1,026.54x = 395,782.17
  5. Step 5: Solve for x
    x = 395,782.17/1,026.54
  6. Step 6: Final answer
    x = 385.55

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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.