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Finding the Fourth Proportional to 1,038.32, 1,556.56 and 388.60

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Solution

The fourth proportional to 1,038.32, 1,556.56 and 388.60 is: 582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.32 : 1,556.56 = 388.60 : x
  2. Step 2: Convert to fraction form
    1,038.32/1,556.56 = 388.60/x
  3. Step 3: Cross multiply
    1,038.32x = 1,556.56 × 388.60
  4. Step 4: Simplify right side
    1,038.32x = 604,879.22
  5. Step 5: Solve for x
    x = 604,879.22/1,038.32
  6. Step 6: Final answer
    x = 582.56

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