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Finding the Fourth Proportional to 1,026.98, 1,539.99 and 342.50

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Solution

The fourth proportional to 1,026.98, 1,539.99 and 342.50 is: 513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.98 : 1,539.99 = 342.50 : x
  2. Step 2: Convert to fraction form
    1,026.98/1,539.99 = 342.50/x
  3. Step 3: Cross multiply
    1,026.98x = 1,539.99 × 342.50
  4. Step 4: Simplify right side
    1,026.98x = 527,446.58
  5. Step 5: Solve for x
    x = 527,446.58/1,026.98
  6. Step 6: Final answer
    x = 513.59

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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.