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Finding the Fourth Proportional to 926.72, 1,390.62 and 342.13

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Solution

The fourth proportional to 926.72, 1,390.62 and 342.13 is: 513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.72 : 1,390.62 = 342.13 : x
  2. Step 2: Convert to fraction form
    926.72/1,390.62 = 342.13/x
  3. Step 3: Cross multiply
    926.72x = 1,390.62 × 342.13
  4. Step 4: Simplify right side
    926.72x = 475,765.87
  5. Step 5: Solve for x
    x = 475,765.87/926.72
  6. Step 6: Final answer
    x = 513.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.