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Finding the Fourth Proportional to 943.98, 1,302.78 and 524.38

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Solution

The fourth proportional to 943.98, 1,302.78 and 524.38 is: 723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.98 : 1,302.78 = 524.38 : x
  2. Step 2: Convert to fraction form
    943.98/1,302.78 = 524.38/x
  3. Step 3: Cross multiply
    943.98x = 1,302.78 × 524.38
  4. Step 4: Simplify right side
    943.98x = 683,151.78
  5. Step 5: Solve for x
    x = 683,151.78/943.98
  6. Step 6: Final answer
    x = 723.69

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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.