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Finding the Fourth Proportional to 923.72, 1,275.02 and 593.03

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Solution

The fourth proportional to 923.72, 1,275.02 and 593.03 is: 818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.72 : 1,275.02 = 593.03 : x
  2. Step 2: Convert to fraction form
    923.72/1,275.02 = 593.03/x
  3. Step 3: Cross multiply
    923.72x = 1,275.02 × 593.03
  4. Step 4: Simplify right side
    923.72x = 756,125.11
  5. Step 5: Solve for x
    x = 756,125.11/923.72
  6. Step 6: Final answer
    x = 818.57

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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.