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Finding the Fourth Proportional to 1,025.84, 1,538.76 and 275.36

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Solution

The fourth proportional to 1,025.84, 1,538.76 and 275.36 is: 413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.84 : 1,538.76 = 275.36 : x
  2. Step 2: Convert to fraction form
    1,025.84/1,538.76 = 275.36/x
  3. Step 3: Cross multiply
    1,025.84x = 1,538.76 × 275.36
  4. Step 4: Simplify right side
    1,025.84x = 423,712.95
  5. Step 5: Solve for x
    x = 423,712.95/1,025.84
  6. Step 6: Final answer
    x = 413.04

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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.