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Finding the Fourth Proportional to 1,026.94, 1,539.99 and 377.32

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Solution

The fourth proportional to 1,026.94, 1,539.99 and 377.32 is: 565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.94 : 1,539.99 = 377.32 : x
  2. Step 2: Convert to fraction form
    1,026.94/1,539.99 = 377.32/x
  3. Step 3: Cross multiply
    1,026.94x = 1,539.99 × 377.32
  4. Step 4: Simplify right side
    1,026.94x = 581,069.03
  5. Step 5: Solve for x
    x = 581,069.03/1,026.94
  6. Step 6: Final answer
    x = 565.83

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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.