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Finding the Fourth Proportional to 942.95, 1,301.24 and 523.30

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Solution

The fourth proportional to 942.95, 1,301.24 and 523.30 is: 722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.95 : 1,301.24 = 523.30 : x
  2. Step 2: Convert to fraction form
    942.95/1,301.24 = 523.30/x
  3. Step 3: Cross multiply
    942.95x = 1,301.24 × 523.30
  4. Step 4: Simplify right side
    942.95x = 680,938.89
  5. Step 5: Solve for x
    x = 680,938.89/942.95
  6. Step 6: Final answer
    x = 722.14

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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.