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Finding the Fourth Proportional to 936.28, 1,397.56 and 894.16

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Solution

The fourth proportional to 936.28, 1,397.56 and 894.16 is: 1,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.28 : 1,397.56 = 894.16 : x
  2. Step 2: Convert to fraction form
    936.28/1,397.56 = 894.16/x
  3. Step 3: Cross multiply
    936.28x = 1,397.56 × 894.16
  4. Step 4: Simplify right side
    936.28x = 1,249,642.25
  5. Step 5: Solve for x
    x = 1,249,642.25/936.28
  6. Step 6: Final answer
    x = 1,334.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.