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Finding the Fourth Proportional to 1,068.96, 1,602.28 and 519.99

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Solution

The fourth proportional to 1,068.96, 1,602.28 and 519.99 is: 779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.96 : 1,602.28 = 519.99 : x
  2. Step 2: Convert to fraction form
    1,068.96/1,602.28 = 519.99/x
  3. Step 3: Cross multiply
    1,068.96x = 1,602.28 × 519.99
  4. Step 4: Simplify right side
    1,068.96x = 833,169.58
  5. Step 5: Solve for x
    x = 833,169.58/1,068.96
  6. Step 6: Final answer
    x = 779.42

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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.