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Finding the Fourth Proportional to 1,134.05, 1,699.89 and 476.43

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Solution

The fourth proportional to 1,134.05, 1,699.89 and 476.43 is: 714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.05 : 1,699.89 = 476.43 : x
  2. Step 2: Convert to fraction form
    1,134.05/1,699.89 = 476.43/x
  3. Step 3: Cross multiply
    1,134.05x = 1,699.89 × 476.43
  4. Step 4: Simplify right side
    1,134.05x = 809,878.59
  5. Step 5: Solve for x
    x = 809,878.59/1,134.05
  6. Step 6: Final answer
    x = 714.15

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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.