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Finding the Fourth Proportional to 943.69, 1,302.29 and 524.06

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Solution

The fourth proportional to 943.69, 1,302.29 and 524.06 is: 723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.69 : 1,302.29 = 524.06 : x
  2. Step 2: Convert to fraction form
    943.69/1,302.29 = 524.06/x
  3. Step 3: Cross multiply
    943.69x = 1,302.29 × 524.06
  4. Step 4: Simplify right side
    943.69x = 682,478.10
  5. Step 5: Solve for x
    x = 682,478.10/943.69
  6. Step 6: Final answer
    x = 723.20

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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.