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Finding the Fourth Proportional to 1,093.84, 1,640.14 and 964.15

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Solution

The fourth proportional to 1,093.84, 1,640.14 and 964.15 is: 1,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.84 : 1,640.14 = 964.15 : x
  2. Step 2: Convert to fraction form
    1,093.84/1,640.14 = 964.15/x
  3. Step 3: Cross multiply
    1,093.84x = 1,640.14 × 964.15
  4. Step 4: Simplify right side
    1,093.84x = 1,581,334.47
  5. Step 5: Solve for x
    x = 1,581,334.47/1,093.84
  6. Step 6: Final answer
    x = 1,445.68

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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.