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Finding the Fourth Proportional to 1,025.92, 1,538.42 and 295.32

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Solution

The fourth proportional to 1,025.92, 1,538.42 and 295.32 is: 442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.92 : 1,538.42 = 295.32 : x
  2. Step 2: Convert to fraction form
    1,025.92/1,538.42 = 295.32/x
  3. Step 3: Cross multiply
    1,025.92x = 1,538.42 × 295.32
  4. Step 4: Simplify right side
    1,025.92x = 454,326.99
  5. Step 5: Solve for x
    x = 454,326.99/1,025.92
  6. Step 6: Final answer
    x = 442.85

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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.