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Finding the Fourth Proportional to 1,128.89, 1,693.56 and 348.84

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Solution

The fourth proportional to 1,128.89, 1,693.56 and 348.84 is: 523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.89 : 1,693.56 = 348.84 : x
  2. Step 2: Convert to fraction form
    1,128.89/1,693.56 = 348.84/x
  3. Step 3: Cross multiply
    1,128.89x = 1,693.56 × 348.84
  4. Step 4: Simplify right side
    1,128.89x = 590,781.47
  5. Step 5: Solve for x
    x = 590,781.47/1,128.89
  6. Step 6: Final answer
    x = 523.33

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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.