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Finding the Fourth Proportional to 1,156.39, 1,735.13 and 669.85

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Solution

The fourth proportional to 1,156.39, 1,735.13 and 669.85 is: 1,005.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.39 : 1,735.13 = 669.85 : x
  2. Step 2: Convert to fraction form
    1,156.39/1,735.13 = 669.85/x
  3. Step 3: Cross multiply
    1,156.39x = 1,735.13 × 669.85
  4. Step 4: Simplify right side
    1,156.39x = 1,162,273.48
  5. Step 5: Solve for x
    x = 1,162,273.48/1,156.39
  6. Step 6: Final answer
    x = 1,005.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.