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Finding the Fourth Proportional to 1,433.54, 2,151.04 and 568.46

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Solution

The fourth proportional to 1,433.54, 2,151.04 and 568.46 is: 852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.54 : 2,151.04 = 568.46 : x
  2. Step 2: Convert to fraction form
    1,433.54/2,151.04 = 568.46/x
  3. Step 3: Cross multiply
    1,433.54x = 2,151.04 × 568.46
  4. Step 4: Simplify right side
    1,433.54x = 1,222,780.20
  5. Step 5: Solve for x
    x = 1,222,780.20/1,433.54
  6. Step 6: Final answer
    x = 852.98

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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.