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Finding the Fourth Proportional to 1,128.88, 1,693.20 and 398.48

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Solution

The fourth proportional to 1,128.88, 1,693.20 and 398.48 is: 597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.88 : 1,693.20 = 398.48 : x
  2. Step 2: Convert to fraction form
    1,128.88/1,693.20 = 398.48/x
  3. Step 3: Cross multiply
    1,128.88x = 1,693.20 × 398.48
  4. Step 4: Simplify right side
    1,128.88x = 674,706.34
  5. Step 5: Solve for x
    x = 674,706.34/1,128.88
  6. Step 6: Final answer
    x = 597.68

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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.