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Finding the Fourth Proportional to 943.67, 1,302.31 and 524.07

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Solution

The fourth proportional to 943.67, 1,302.31 and 524.07 is: 723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.67 : 1,302.31 = 524.07 : x
  2. Step 2: Convert to fraction form
    943.67/1,302.31 = 524.07/x
  3. Step 3: Cross multiply
    943.67x = 1,302.31 × 524.07
  4. Step 4: Simplify right side
    943.67x = 682,501.60
  5. Step 5: Solve for x
    x = 682,501.60/943.67
  6. Step 6: Final answer
    x = 723.24

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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.