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Finding the Fourth Proportional to 1,025.46, 1,537.88 and 294.84

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Solution

The fourth proportional to 1,025.46, 1,537.88 and 294.84 is: 442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.46 : 1,537.88 = 294.84 : x
  2. Step 2: Convert to fraction form
    1,025.46/1,537.88 = 294.84/x
  3. Step 3: Cross multiply
    1,025.46x = 1,537.88 × 294.84
  4. Step 4: Simplify right side
    1,025.46x = 453,428.54
  5. Step 5: Solve for x
    x = 453,428.54/1,025.46
  6. Step 6: Final answer
    x = 442.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.