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Finding the Fourth Proportional to 1,113.12, 1,660.05 and 949.59

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Solution

The fourth proportional to 1,113.12, 1,660.05 and 949.59 is: 1,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.12 : 1,660.05 = 949.59 : x
  2. Step 2: Convert to fraction form
    1,113.12/1,660.05 = 949.59/x
  3. Step 3: Cross multiply
    1,113.12x = 1,660.05 × 949.59
  4. Step 4: Simplify right side
    1,113.12x = 1,576,366.88
  5. Step 5: Solve for x
    x = 1,576,366.88/1,113.12
  6. Step 6: Final answer
    x = 1,416.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.