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Finding the Fourth Proportional to 1,035.71, 1,553.51 and 386.39

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Solution

The fourth proportional to 1,035.71, 1,553.51 and 386.39 is: 579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.71 : 1,553.51 = 386.39 : x
  2. Step 2: Convert to fraction form
    1,035.71/1,553.51 = 386.39/x
  3. Step 3: Cross multiply
    1,035.71x = 1,553.51 × 386.39
  4. Step 4: Simplify right side
    1,035.71x = 600,264.13
  5. Step 5: Solve for x
    x = 600,264.13/1,035.71
  6. Step 6: Final answer
    x = 579.57

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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.