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Finding the Fourth Proportional to 1,153.53, 1,729.46 and 450.14

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Solution

The fourth proportional to 1,153.53, 1,729.46 and 450.14 is: 674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.53 : 1,729.46 = 450.14 : x
  2. Step 2: Convert to fraction form
    1,153.53/1,729.46 = 450.14/x
  3. Step 3: Cross multiply
    1,153.53x = 1,729.46 × 450.14
  4. Step 4: Simplify right side
    1,153.53x = 778,501.80
  5. Step 5: Solve for x
    x = 778,501.80/1,153.53
  6. Step 6: Final answer
    x = 674.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.