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Finding the Fourth Proportional to 732.97, 1,105 and 693.28

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Solution

The fourth proportional to 732.97, 1,105 and 693.28 is: 1,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.97 : 1,105 = 693.28 : x
  2. Step 2: Convert to fraction form
    732.97/1,105 = 693.28/x
  3. Step 3: Cross multiply
    732.97x = 1,105 × 693.28
  4. Step 4: Simplify right side
    732.97x = 766,074.40
  5. Step 5: Solve for x
    x = 766,074.40/732.97
  6. Step 6: Final answer
    x = 1,045.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.