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Finding the Fourth Proportional to 1,026.26, 1,539.40 and 295.91

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Solution

The fourth proportional to 1,026.26, 1,539.40 and 295.91 is: 443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.26 : 1,539.40 = 295.91 : x
  2. Step 2: Convert to fraction form
    1,026.26/1,539.40 = 295.91/x
  3. Step 3: Cross multiply
    1,026.26x = 1,539.40 × 295.91
  4. Step 4: Simplify right side
    1,026.26x = 455,515.42
  5. Step 5: Solve for x
    x = 455,515.42/1,026.26
  6. Step 6: Final answer
    x = 443.86

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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.