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Finding the Fourth Proportional to 1,035.91, 1,553.14 and 386.47

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Solution

The fourth proportional to 1,035.91, 1,553.14 and 386.47 is: 579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.91 : 1,553.14 = 386.47 : x
  2. Step 2: Convert to fraction form
    1,035.91/1,553.14 = 386.47/x
  3. Step 3: Cross multiply
    1,035.91x = 1,553.14 × 386.47
  4. Step 4: Simplify right side
    1,035.91x = 600,242.02
  5. Step 5: Solve for x
    x = 600,242.02/1,035.91
  6. Step 6: Final answer
    x = 579.43

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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.