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Finding the Fourth Proportional to 732.74, 1,093.43 and 654.84

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Solution

The fourth proportional to 732.74, 1,093.43 and 654.84 is: 977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.74 : 1,093.43 = 654.84 : x
  2. Step 2: Convert to fraction form
    732.74/1,093.43 = 654.84/x
  3. Step 3: Cross multiply
    732.74x = 1,093.43 × 654.84
  4. Step 4: Simplify right side
    732.74x = 716,018.43
  5. Step 5: Solve for x
    x = 716,018.43/732.74
  6. Step 6: Final answer
    x = 977.19

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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.