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Finding the Fourth Proportional to 1,086.72, 1,497.60 and 775.68

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Solution

The fourth proportional to 1,086.72, 1,497.60 and 775.68 is: 1,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.72 : 1,497.60 = 775.68 : x
  2. Step 2: Convert to fraction form
    1,086.72/1,497.60 = 775.68/x
  3. Step 3: Cross multiply
    1,086.72x = 1,497.60 × 775.68
  4. Step 4: Simplify right side
    1,086.72x = 1,161,658.37
  5. Step 5: Solve for x
    x = 1,161,658.37/1,086.72
  6. Step 6: Final answer
    x = 1,068.96

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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.