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Finding the Fourth Proportional to 1,153.68, 1,599.40 and 1,091.34

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Solution

The fourth proportional to 1,153.68, 1,599.40 and 1,091.34 is: 1,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.68 : 1,599.40 = 1,091.34 : x
  2. Step 2: Convert to fraction form
    1,153.68/1,599.40 = 1,091.34/x
  3. Step 3: Cross multiply
    1,153.68x = 1,599.40 × 1,091.34
  4. Step 4: Simplify right side
    1,153.68x = 1,745,477.67
  5. Step 5: Solve for x
    x = 1,745,477.67/1,153.68
  6. Step 6: Final answer
    x = 1,512.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.