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Finding the Fourth Proportional to 1,038.05, 1,556.67 and 388.43

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Solution

The fourth proportional to 1,038.05, 1,556.67 and 388.43 is: 582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.05 : 1,556.67 = 388.43 : x
  2. Step 2: Convert to fraction form
    1,038.05/1,556.67 = 388.43/x
  3. Step 3: Cross multiply
    1,038.05x = 1,556.67 × 388.43
  4. Step 4: Simplify right side
    1,038.05x = 604,657.33
  5. Step 5: Solve for x
    x = 604,657.33/1,038.05
  6. Step 6: Final answer
    x = 582.49

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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.