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Finding the Fourth Proportional to 1,107.67, 1,528.59 and 687.93

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Solution

The fourth proportional to 1,107.67, 1,528.59 and 687.93 is: 949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.67 : 1,528.59 = 687.93 : x
  2. Step 2: Convert to fraction form
    1,107.67/1,528.59 = 687.93/x
  3. Step 3: Cross multiply
    1,107.67x = 1,528.59 × 687.93
  4. Step 4: Simplify right side
    1,107.67x = 1,051,562.92
  5. Step 5: Solve for x
    x = 1,051,562.92/1,107.67
  6. Step 6: Final answer
    x = 949.35

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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.