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Finding the Fourth Proportional to 1,229.84, 1,697.23 and 732.53

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Solution

The fourth proportional to 1,229.84, 1,697.23 and 732.53 is: 1,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.84 : 1,697.23 = 732.53 : x
  2. Step 2: Convert to fraction form
    1,229.84/1,697.23 = 732.53/x
  3. Step 3: Cross multiply
    1,229.84x = 1,697.23 × 732.53
  4. Step 4: Simplify right side
    1,229.84x = 1,243,274.30
  5. Step 5: Solve for x
    x = 1,243,274.30/1,229.84
  6. Step 6: Final answer
    x = 1,010.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.