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Finding the Fourth Proportional to 1,026.64, 1,539.93 and 449.50

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Solution

The fourth proportional to 1,026.64, 1,539.93 and 449.50 is: 674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.64 : 1,539.93 = 449.50 : x
  2. Step 2: Convert to fraction form
    1,026.64/1,539.93 = 449.50/x
  3. Step 3: Cross multiply
    1,026.64x = 1,539.93 × 449.50
  4. Step 4: Simplify right side
    1,026.64x = 692,198.54
  5. Step 5: Solve for x
    x = 692,198.54/1,026.64
  6. Step 6: Final answer
    x = 674.24

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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.