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Finding the Fourth Proportional to 1,035.47, 1,553.43 and 342.29

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Solution

The fourth proportional to 1,035.47, 1,553.43 and 342.29 is: 513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.47 : 1,553.43 = 342.29 : x
  2. Step 2: Convert to fraction form
    1,035.47/1,553.43 = 342.29/x
  3. Step 3: Cross multiply
    1,035.47x = 1,553.43 × 342.29
  4. Step 4: Simplify right side
    1,035.47x = 531,723.55
  5. Step 5: Solve for x
    x = 531,723.55/1,035.47
  6. Step 6: Final answer
    x = 513.51

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Double scale
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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.