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Finding the Fourth Proportional to 1,068.57, 1,603.05 and 338.35

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Solution

The fourth proportional to 1,068.57, 1,603.05 and 338.35 is: 507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.57 : 1,603.05 = 338.35 : x
  2. Step 2: Convert to fraction form
    1,068.57/1,603.05 = 338.35/x
  3. Step 3: Cross multiply
    1,068.57x = 1,603.05 × 338.35
  4. Step 4: Simplify right side
    1,068.57x = 542,391.97
  5. Step 5: Solve for x
    x = 542,391.97/1,068.57
  6. Step 6: Final answer
    x = 507.59

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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.