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Finding the Fourth Proportional to 1,026.42, 1,539.17 and 295.82

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Solution

The fourth proportional to 1,026.42, 1,539.17 and 295.82 is: 443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.42 : 1,539.17 = 295.82 : x
  2. Step 2: Convert to fraction form
    1,026.42/1,539.17 = 295.82/x
  3. Step 3: Cross multiply
    1,026.42x = 1,539.17 × 295.82
  4. Step 4: Simplify right side
    1,026.42x = 455,317.27
  5. Step 5: Solve for x
    x = 455,317.27/1,026.42
  6. Step 6: Final answer
    x = 443.60

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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.