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Finding the Fourth Proportional to 1,028.60, 1,543.05 and 335.06

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Solution

The fourth proportional to 1,028.60, 1,543.05 and 335.06 is: 502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.60 : 1,543.05 = 335.06 : x
  2. Step 2: Convert to fraction form
    1,028.60/1,543.05 = 335.06/x
  3. Step 3: Cross multiply
    1,028.60x = 1,543.05 × 335.06
  4. Step 4: Simplify right side
    1,028.60x = 517,006.62
  5. Step 5: Solve for x
    x = 517,006.62/1,028.60
  6. Step 6: Final answer
    x = 502.63

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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.