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Finding the Fourth Proportional to 1,026.10, 1,539.20 and 295.71

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Solution

The fourth proportional to 1,026.10, 1,539.20 and 295.71 is: 443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.10 : 1,539.20 = 295.71 : x
  2. Step 2: Convert to fraction form
    1,026.10/1,539.20 = 295.71/x
  3. Step 3: Cross multiply
    1,026.10x = 1,539.20 × 295.71
  4. Step 4: Simplify right side
    1,026.10x = 455,156.83
  5. Step 5: Solve for x
    x = 455,156.83/1,026.10
  6. Step 6: Final answer
    x = 443.58

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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.