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Finding the Fourth Proportional to 942.28, 1,300.32 and 522.63

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Solution

The fourth proportional to 942.28, 1,300.32 and 522.63 is: 721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.28 : 1,300.32 = 522.63 : x
  2. Step 2: Convert to fraction form
    942.28/1,300.32 = 522.63/x
  3. Step 3: Cross multiply
    942.28x = 1,300.32 × 522.63
  4. Step 4: Simplify right side
    942.28x = 679,586.24
  5. Step 5: Solve for x
    x = 679,586.24/942.28
  6. Step 6: Final answer
    x = 721.22

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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.