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Finding the Fourth Proportional to 1,028.33, 1,542.72 and 297.84

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Solution

The fourth proportional to 1,028.33, 1,542.72 and 297.84 is: 446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.33 : 1,542.72 = 297.84 : x
  2. Step 2: Convert to fraction form
    1,028.33/1,542.72 = 297.84/x
  3. Step 3: Cross multiply
    1,028.33x = 1,542.72 × 297.84
  4. Step 4: Simplify right side
    1,028.33x = 459,482.24
  5. Step 5: Solve for x
    x = 459,482.24/1,028.33
  6. Step 6: Final answer
    x = 446.83

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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.