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Finding the Fourth Proportional to 1,038.16, 1,556.56 and 388.52

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Solution

The fourth proportional to 1,038.16, 1,556.56 and 388.52 is: 582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.16 : 1,556.56 = 388.52 : x
  2. Step 2: Convert to fraction form
    1,038.16/1,556.56 = 388.52/x
  3. Step 3: Cross multiply
    1,038.16x = 1,556.56 × 388.52
  4. Step 4: Simplify right side
    1,038.16x = 604,754.69
  5. Step 5: Solve for x
    x = 604,754.69/1,038.16
  6. Step 6: Final answer
    x = 582.53

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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.