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Finding the Fourth Proportional to 1,025.83, 1,539 and 295.45

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Solution

The fourth proportional to 1,025.83, 1,539 and 295.45 is: 443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.83 : 1,539 = 295.45 : x
  2. Step 2: Convert to fraction form
    1,025.83/1,539 = 295.45/x
  3. Step 3: Cross multiply
    1,025.83x = 1,539 × 295.45
  4. Step 4: Simplify right side
    1,025.83x = 454,693.70
  5. Step 5: Solve for x
    x = 454,693.70/1,025.83
  6. Step 6: Final answer
    x = 443.24

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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.