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Finding the Fourth Proportional to 1,156.69, 1,735.47 and 694.79

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Solution

The fourth proportional to 1,156.69, 1,735.47 and 694.79 is: 1,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.69 : 1,735.47 = 694.79 : x
  2. Step 2: Convert to fraction form
    1,156.69/1,735.47 = 694.79/x
  3. Step 3: Cross multiply
    1,156.69x = 1,735.47 × 694.79
  4. Step 4: Simplify right side
    1,156.69x = 1,205,787.20
  5. Step 5: Solve for x
    x = 1,205,787.20/1,156.69
  6. Step 6: Final answer
    x = 1,042.45

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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.