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Finding the Fourth Proportional to 1,153.89, 1,729.21 and 503.26

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Solution

The fourth proportional to 1,153.89, 1,729.21 and 503.26 is: 754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.89 : 1,729.21 = 503.26 : x
  2. Step 2: Convert to fraction form
    1,153.89/1,729.21 = 503.26/x
  3. Step 3: Cross multiply
    1,153.89x = 1,729.21 × 503.26
  4. Step 4: Simplify right side
    1,153.89x = 870,242.22
  5. Step 5: Solve for x
    x = 870,242.22/1,153.89
  6. Step 6: Final answer
    x = 754.18

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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.