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Finding the Fourth Proportional to 732.84, 1,093.37 and 698.01

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Solution

The fourth proportional to 732.84, 1,093.37 and 698.01 is: 1,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.84 : 1,093.37 = 698.01 : x
  2. Step 2: Convert to fraction form
    732.84/1,093.37 = 698.01/x
  3. Step 3: Cross multiply
    732.84x = 1,093.37 × 698.01
  4. Step 4: Simplify right side
    732.84x = 763,183.19
  5. Step 5: Solve for x
    x = 763,183.19/732.84
  6. Step 6: Final answer
    x = 1,041.40

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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.