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Finding the Fourth Proportional to 1,028.66, 1,543.17 and 379.40

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Solution

The fourth proportional to 1,028.66, 1,543.17 and 379.40 is: 569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.66 : 1,543.17 = 379.40 : x
  2. Step 2: Convert to fraction form
    1,028.66/1,543.17 = 379.40/x
  3. Step 3: Cross multiply
    1,028.66x = 1,543.17 × 379.40
  4. Step 4: Simplify right side
    1,028.66x = 585,478.70
  5. Step 5: Solve for x
    x = 585,478.70/1,028.66
  6. Step 6: Final answer
    x = 569.17

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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.