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Finding the Fourth Proportional to 732.49, 1,093.11 and 654.64

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Solution

The fourth proportional to 732.49, 1,093.11 and 654.64 is: 976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.49 : 1,093.11 = 654.64 : x
  2. Step 2: Convert to fraction form
    732.49/1,093.11 = 654.64/x
  3. Step 3: Cross multiply
    732.49x = 1,093.11 × 654.64
  4. Step 4: Simplify right side
    732.49x = 715,588.34
  5. Step 5: Solve for x
    x = 715,588.34/732.49
  6. Step 6: Final answer
    x = 976.93

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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.