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Finding the Fourth Proportional to 1,025.20, 1,538.04 and 294.76

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Solution

The fourth proportional to 1,025.20, 1,538.04 and 294.76 is: 442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.20 : 1,538.04 = 294.76 : x
  2. Step 2: Convert to fraction form
    1,025.20/1,538.04 = 294.76/x
  3. Step 3: Cross multiply
    1,025.20x = 1,538.04 × 294.76
  4. Step 4: Simplify right side
    1,025.20x = 453,352.67
  5. Step 5: Solve for x
    x = 453,352.67/1,025.20
  6. Step 6: Final answer
    x = 442.21

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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.