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Finding the Fourth Proportional to 1,127.98, 1,690.62 and 580.42

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Solution

The fourth proportional to 1,127.98, 1,690.62 and 580.42 is: 869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.98 : 1,690.62 = 580.42 : x
  2. Step 2: Convert to fraction form
    1,127.98/1,690.62 = 580.42/x
  3. Step 3: Cross multiply
    1,127.98x = 1,690.62 × 580.42
  4. Step 4: Simplify right side
    1,127.98x = 981,269.66
  5. Step 5: Solve for x
    x = 981,269.66/1,127.98
  6. Step 6: Final answer
    x = 869.94

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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.