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Finding the Fourth Proportional to 1,160.41, 1,599.51 and 911.34

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Solution

The fourth proportional to 1,160.41, 1,599.51 and 911.34 is: 1,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.41 : 1,599.51 = 911.34 : x
  2. Step 2: Convert to fraction form
    1,160.41/1,599.51 = 911.34/x
  3. Step 3: Cross multiply
    1,160.41x = 1,599.51 × 911.34
  4. Step 4: Simplify right side
    1,160.41x = 1,457,697.44
  5. Step 5: Solve for x
    x = 1,457,697.44/1,160.41
  6. Step 6: Final answer
    x = 1,256.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.