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Finding the Fourth Proportional to 942.84, 1,301.13 and 523.20

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Solution

The fourth proportional to 942.84, 1,301.13 and 523.20 is: 722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.84 : 1,301.13 = 523.20 : x
  2. Step 2: Convert to fraction form
    942.84/1,301.13 = 523.20/x
  3. Step 3: Cross multiply
    942.84x = 1,301.13 × 523.20
  4. Step 4: Simplify right side
    942.84x = 680,751.22
  5. Step 5: Solve for x
    x = 680,751.22/942.84
  6. Step 6: Final answer
    x = 722.02

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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.