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Finding the Fourth Proportional to 1,225.13, 1,835.97 and 531.26

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Solution

The fourth proportional to 1,225.13, 1,835.97 and 531.26 is: 796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.13 : 1,835.97 = 531.26 : x
  2. Step 2: Convert to fraction form
    1,225.13/1,835.97 = 531.26/x
  3. Step 3: Cross multiply
    1,225.13x = 1,835.97 × 531.26
  4. Step 4: Simplify right side
    1,225.13x = 975,373.14
  5. Step 5: Solve for x
    x = 975,373.14/1,225.13
  6. Step 6: Final answer
    x = 796.14

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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.