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Finding the Fourth Proportional to 1,134.69, 1,566.05 and 780.31

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Solution

The fourth proportional to 1,134.69, 1,566.05 and 780.31 is: 1,076.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.69 : 1,566.05 = 780.31 : x
  2. Step 2: Convert to fraction form
    1,134.69/1,566.05 = 780.31/x
  3. Step 3: Cross multiply
    1,134.69x = 1,566.05 × 780.31
  4. Step 4: Simplify right side
    1,134.69x = 1,222,006.92
  5. Step 5: Solve for x
    x = 1,222,006.92/1,134.69
  6. Step 6: Final answer
    x = 1,076.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.