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Finding the Fourth Proportional to 943.82, 1,302.40 and 524.15

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Solution

The fourth proportional to 943.82, 1,302.40 and 524.15 is: 723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.82 : 1,302.40 = 524.15 : x
  2. Step 2: Convert to fraction form
    943.82/1,302.40 = 524.15/x
  3. Step 3: Cross multiply
    943.82x = 1,302.40 × 524.15
  4. Step 4: Simplify right side
    943.82x = 682,646.45
  5. Step 5: Solve for x
    x = 682,646.45/943.82
  6. Step 6: Final answer
    x = 723.28

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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.