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Finding the Fourth Proportional to 1,068.03, 1,602.33 and 418.83

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Solution

The fourth proportional to 1,068.03, 1,602.33 and 418.83 is: 628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.03 : 1,602.33 = 418.83 : x
  2. Step 2: Convert to fraction form
    1,068.03/1,602.33 = 418.83/x
  3. Step 3: Cross multiply
    1,068.03x = 1,602.33 × 418.83
  4. Step 4: Simplify right side
    1,068.03x = 671,103.87
  5. Step 5: Solve for x
    x = 671,103.87/1,068.03
  6. Step 6: Final answer
    x = 628.36

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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.