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Finding the Fourth Proportional to 862.42, 1,189.54 and 531.03

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Solution

The fourth proportional to 862.42, 1,189.54 and 531.03 is: 732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.42 : 1,189.54 = 531.03 : x
  2. Step 2: Convert to fraction form
    862.42/1,189.54 = 531.03/x
  3. Step 3: Cross multiply
    862.42x = 1,189.54 × 531.03
  4. Step 4: Simplify right side
    862.42x = 631,681.43
  5. Step 5: Solve for x
    x = 631,681.43/862.42
  6. Step 6: Final answer
    x = 732.45

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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.