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Finding the Fourth Proportional to 1,398.78, 1,929.96 and 933.12

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Solution

The fourth proportional to 1,398.78, 1,929.96 and 933.12 is: 1,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.78 : 1,929.96 = 933.12 : x
  2. Step 2: Convert to fraction form
    1,398.78/1,929.96 = 933.12/x
  3. Step 3: Cross multiply
    1,398.78x = 1,929.96 × 933.12
  4. Step 4: Simplify right side
    1,398.78x = 1,800,884.28
  5. Step 5: Solve for x
    x = 1,800,884.28/1,398.78
  6. Step 6: Final answer
    x = 1,287.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.